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Finding the Fourth Proportional to 1,542.52, 2,314.68 and 618.52

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Solution

The fourth proportional to 1,542.52, 2,314.68 and 618.52 is: 928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.52 : 2,314.68 = 618.52 : x
  2. Step 2: Convert to fraction form
    1,542.52/2,314.68 = 618.52/x
  3. Step 3: Cross multiply
    1,542.52x = 2,314.68 × 618.52
  4. Step 4: Simplify right side
    1,542.52x = 1,431,675.87
  5. Step 5: Solve for x
    x = 1,431,675.87/1,542.52
  6. Step 6: Final answer
    x = 928.14

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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.