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Finding the Fourth Proportional to 2,594.86, 3,873.46 and 2,402.14

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Solution

The fourth proportional to 2,594.86, 3,873.46 and 2,402.14 is: 3,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.86 : 3,873.46 = 2,402.14 : x
  2. Step 2: Convert to fraction form
    2,594.86/3,873.46 = 2,402.14/x
  3. Step 3: Cross multiply
    2,594.86x = 3,873.46 × 2,402.14
  4. Step 4: Simplify right side
    2,594.86x = 9,304,593.20
  5. Step 5: Solve for x
    x = 9,304,593.20/2,594.86
  6. Step 6: Final answer
    x = 3,585.78

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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.