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Finding the Fourth Proportional to 1,531.32, 2,296.07 and 557.10

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Solution

The fourth proportional to 1,531.32, 2,296.07 and 557.10 is: 835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.32 : 2,296.07 = 557.10 : x
  2. Step 2: Convert to fraction form
    1,531.32/2,296.07 = 557.10/x
  3. Step 3: Cross multiply
    1,531.32x = 2,296.07 × 557.10
  4. Step 4: Simplify right side
    1,531.32x = 1,279,140.60
  5. Step 5: Solve for x
    x = 1,279,140.60/1,531.32
  6. Step 6: Final answer
    x = 835.32

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