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Finding the Fourth Proportional to 2,600.78, 3,589.14 and 1,421.90

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Solution

The fourth proportional to 2,600.78, 3,589.14 and 1,421.90 is: 1,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.78 : 3,589.14 = 1,421.90 : x
  2. Step 2: Convert to fraction form
    2,600.78/3,589.14 = 1,421.90/x
  3. Step 3: Cross multiply
    2,600.78x = 3,589.14 × 1,421.90
  4. Step 4: Simplify right side
    2,600.78x = 5,103,398.17
  5. Step 5: Solve for x
    x = 5,103,398.17/2,600.78
  6. Step 6: Final answer
    x = 1,962.26

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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.