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Finding the Fourth Proportional to 2,448.78, 3,691.53 and 2,285.85

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Solution

The fourth proportional to 2,448.78, 3,691.53 and 2,285.85 is: 3,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.78 : 3,691.53 = 2,285.85 : x
  2. Step 2: Convert to fraction form
    2,448.78/3,691.53 = 2,285.85/x
  3. Step 3: Cross multiply
    2,448.78x = 3,691.53 × 2,285.85
  4. Step 4: Simplify right side
    2,448.78x = 8,438,275.28
  5. Step 5: Solve for x
    x = 8,438,275.28/2,448.78
  6. Step 6: Final answer
    x = 3,445.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.