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Finding the Fourth Proportional to 2,589.61, 3,881.18 and 2,039.62

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Solution

The fourth proportional to 2,589.61, 3,881.18 and 2,039.62 is: 3,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.61 : 3,881.18 = 2,039.62 : x
  2. Step 2: Convert to fraction form
    2,589.61/3,881.18 = 2,039.62/x
  3. Step 3: Cross multiply
    2,589.61x = 3,881.18 × 2,039.62
  4. Step 4: Simplify right side
    2,589.61x = 7,916,132.35
  5. Step 5: Solve for x
    x = 7,916,132.35/2,589.61
  6. Step 6: Final answer
    x = 3,056.88

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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.