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Finding the Fourth Proportional to 1,542.59, 2,129.47 and 1,072.08

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Solution

The fourth proportional to 1,542.59, 2,129.47 and 1,072.08 is: 1,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.59 : 2,129.47 = 1,072.08 : x
  2. Step 2: Convert to fraction form
    1,542.59/2,129.47 = 1,072.08/x
  3. Step 3: Cross multiply
    1,542.59x = 2,129.47 × 1,072.08
  4. Step 4: Simplify right side
    1,542.59x = 2,282,951.55
  5. Step 5: Solve for x
    x = 2,282,951.55/1,542.59
  6. Step 6: Final answer
    x = 1,479.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.