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Finding the Fourth Proportional to 3,462.84, 5,194.26 and 1,731.06

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Solution

The fourth proportional to 3,462.84, 5,194.26 and 1,731.06 is: 2,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.84 : 5,194.26 = 1,731.06 : x
  2. Step 2: Convert to fraction form
    3,462.84/5,194.26 = 1,731.06/x
  3. Step 3: Cross multiply
    3,462.84x = 5,194.26 × 1,731.06
  4. Step 4: Simplify right side
    3,462.84x = 8,991,575.72
  5. Step 5: Solve for x
    x = 8,991,575.72/3,462.84
  6. Step 6: Final answer
    x = 2,596.59

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.