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Finding the Fourth Proportional to 2,930.95, 4,397.49 and 1,287.97

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Solution

The fourth proportional to 2,930.95, 4,397.49 and 1,287.97 is: 1,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.95 : 4,397.49 = 1,287.97 : x
  2. Step 2: Convert to fraction form
    2,930.95/4,397.49 = 1,287.97/x
  3. Step 3: Cross multiply
    2,930.95x = 4,397.49 × 1,287.97
  4. Step 4: Simplify right side
    2,930.95x = 5,663,824.20
  5. Step 5: Solve for x
    x = 5,663,824.20/2,930.95
  6. Step 6: Final answer
    x = 1,932.42

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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.