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Finding the Fourth Proportional to 2,600.42, 3,589.17 and 1,553.30

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Solution

The fourth proportional to 2,600.42, 3,589.17 and 1,553.30 is: 2,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.42 : 3,589.17 = 1,553.30 : x
  2. Step 2: Convert to fraction form
    2,600.42/3,589.17 = 1,553.30/x
  3. Step 3: Cross multiply
    2,600.42x = 3,589.17 × 1,553.30
  4. Step 4: Simplify right side
    2,600.42x = 5,575,057.76
  5. Step 5: Solve for x
    x = 5,575,057.76/2,600.42
  6. Step 6: Final answer
    x = 2,143.91

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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.