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Finding the Fourth Proportional to 2,354.76, 3,531.87 and 623.52

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Solution

The fourth proportional to 2,354.76, 3,531.87 and 623.52 is: 935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.76 : 3,531.87 = 623.52 : x
  2. Step 2: Convert to fraction form
    2,354.76/3,531.87 = 623.52/x
  3. Step 3: Cross multiply
    2,354.76x = 3,531.87 × 623.52
  4. Step 4: Simplify right side
    2,354.76x = 2,202,191.58
  5. Step 5: Solve for x
    x = 2,202,191.58/2,354.76
  6. Step 6: Final answer
    x = 935.21

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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.