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Finding the Fourth Proportional to 2,487.86, 3,427.32 and 1,740.42

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Solution

The fourth proportional to 2,487.86, 3,427.32 and 1,740.42 is: 2,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.86 : 3,427.32 = 1,740.42 : x
  2. Step 2: Convert to fraction form
    2,487.86/3,427.32 = 1,740.42/x
  3. Step 3: Cross multiply
    2,487.86x = 3,427.32 × 1,740.42
  4. Step 4: Simplify right side
    2,487.86x = 5,964,976.27
  5. Step 5: Solve for x
    x = 5,964,976.27/2,487.86
  6. Step 6: Final answer
    x = 2,397.63

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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.