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Finding the Fourth Proportional to 3,233.72, 4,462.38 and 1,836.44

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Solution

The fourth proportional to 3,233.72, 4,462.38 and 1,836.44 is: 2,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.72 : 4,462.38 = 1,836.44 : x
  2. Step 2: Convert to fraction form
    3,233.72/4,462.38 = 1,836.44/x
  3. Step 3: Cross multiply
    3,233.72x = 4,462.38 × 1,836.44
  4. Step 4: Simplify right side
    3,233.72x = 8,194,893.13
  5. Step 5: Solve for x
    x = 8,194,893.13/3,233.72
  6. Step 6: Final answer
    x = 2,534.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.