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Finding the Fourth Proportional to 1,532.52, 2,298.76 and 378.27

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Solution

The fourth proportional to 1,532.52, 2,298.76 and 378.27 is: 567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.52 : 2,298.76 = 378.27 : x
  2. Step 2: Convert to fraction form
    1,532.52/2,298.76 = 378.27/x
  3. Step 3: Cross multiply
    1,532.52x = 2,298.76 × 378.27
  4. Step 4: Simplify right side
    1,532.52x = 869,538.56
  5. Step 5: Solve for x
    x = 869,538.56/1,532.52
  6. Step 6: Final answer
    x = 567.39

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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.