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Finding the Fourth Proportional to 2,687.78, 4,030.29 and 932.60

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Solution

The fourth proportional to 2,687.78, 4,030.29 and 932.60 is: 1,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.78 : 4,030.29 = 932.60 : x
  2. Step 2: Convert to fraction form
    2,687.78/4,030.29 = 932.60/x
  3. Step 3: Cross multiply
    2,687.78x = 4,030.29 × 932.60
  4. Step 4: Simplify right side
    2,687.78x = 3,758,628.30
  5. Step 5: Solve for x
    x = 3,758,628.30/2,687.78
  6. Step 6: Final answer
    x = 1,398.42

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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.