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Finding the Fourth Proportional to 2,458.41, 3,691.31 and 2,115.48

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Solution

The fourth proportional to 2,458.41, 3,691.31 and 2,115.48 is: 3,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.41 : 3,691.31 = 2,115.48 : x
  2. Step 2: Convert to fraction form
    2,458.41/3,691.31 = 2,115.48/x
  3. Step 3: Cross multiply
    2,458.41x = 3,691.31 × 2,115.48
  4. Step 4: Simplify right side
    2,458.41x = 7,808,863.44
  5. Step 5: Solve for x
    x = 7,808,863.44/2,458.41
  6. Step 6: Final answer
    x = 3,176.39

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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.