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Finding the Fourth Proportional to 2,782.84, 4,174.26 and 835.34

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Solution

The fourth proportional to 2,782.84, 4,174.26 and 835.34 is: 1,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.84 : 4,174.26 = 835.34 : x
  2. Step 2: Convert to fraction form
    2,782.84/4,174.26 = 835.34/x
  3. Step 3: Cross multiply
    2,782.84x = 4,174.26 × 835.34
  4. Step 4: Simplify right side
    2,782.84x = 3,486,926.35
  5. Step 5: Solve for x
    x = 3,486,926.35/2,782.84
  6. Step 6: Final answer
    x = 1,253.01

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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.