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Finding the Fourth Proportional to 1,531.35, 2,296.68 and 750.57

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Solution

The fourth proportional to 1,531.35, 2,296.68 and 750.57 is: 1,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.35 : 2,296.68 = 750.57 : x
  2. Step 2: Convert to fraction form
    1,531.35/2,296.68 = 750.57/x
  3. Step 3: Cross multiply
    1,531.35x = 2,296.68 × 750.57
  4. Step 4: Simplify right side
    1,531.35x = 1,723,819.11
  5. Step 5: Solve for x
    x = 1,723,819.11/1,531.35
  6. Step 6: Final answer
    x = 1,125.69

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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.