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Finding the Fourth Proportional to 3,115.78, 4,305.23 and 2,491.45

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Solution

The fourth proportional to 3,115.78, 4,305.23 and 2,491.45 is: 3,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.78 : 4,305.23 = 2,491.45 : x
  2. Step 2: Convert to fraction form
    3,115.78/4,305.23 = 2,491.45/x
  3. Step 3: Cross multiply
    3,115.78x = 4,305.23 × 2,491.45
  4. Step 4: Simplify right side
    3,115.78x = 10,726,265.28
  5. Step 5: Solve for x
    x = 10,726,265.28/3,115.78
  6. Step 6: Final answer
    x = 3,442.56

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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.