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Finding the Fourth Proportional to 1,641.38, 2,445.12 and 1,540.54

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Solution

The fourth proportional to 1,641.38, 2,445.12 and 1,540.54 is: 2,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.38 : 2,445.12 = 1,540.54 : x
  2. Step 2: Convert to fraction form
    1,641.38/2,445.12 = 1,540.54/x
  3. Step 3: Cross multiply
    1,641.38x = 2,445.12 × 1,540.54
  4. Step 4: Simplify right side
    1,641.38x = 3,766,799.05
  5. Step 5: Solve for x
    x = 3,766,799.05/1,641.38
  6. Step 6: Final answer
    x = 2,294.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.