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Finding the Fourth Proportional to 2,599.62, 3,892.39 and 1,731.14

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Solution

The fourth proportional to 2,599.62, 3,892.39 and 1,731.14 is: 2,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.62 : 3,892.39 = 1,731.14 : x
  2. Step 2: Convert to fraction form
    2,599.62/3,892.39 = 1,731.14/x
  3. Step 3: Cross multiply
    2,599.62x = 3,892.39 × 1,731.14
  4. Step 4: Simplify right side
    2,599.62x = 6,738,272.02
  5. Step 5: Solve for x
    x = 6,738,272.02/2,599.62
  6. Step 6: Final answer
    x = 2,592.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.