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Finding the Fourth Proportional to 1,532.38, 2,298.57 and 378.13

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Solution

The fourth proportional to 1,532.38, 2,298.57 and 378.13 is: 567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.38 : 2,298.57 = 378.13 : x
  2. Step 2: Convert to fraction form
    1,532.38/2,298.57 = 378.13/x
  3. Step 3: Cross multiply
    1,532.38x = 2,298.57 × 378.13
  4. Step 4: Simplify right side
    1,532.38x = 869,146.78
  5. Step 5: Solve for x
    x = 869,146.78/1,532.38
  6. Step 6: Final answer
    x = 567.19

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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.