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Finding the Fourth Proportional to 2,259.39, 3,387.07 and 1,610.58

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Solution

The fourth proportional to 2,259.39, 3,387.07 and 1,610.58 is: 2,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.39 : 3,387.07 = 1,610.58 : x
  2. Step 2: Convert to fraction form
    2,259.39/3,387.07 = 1,610.58/x
  3. Step 3: Cross multiply
    2,259.39x = 3,387.07 × 1,610.58
  4. Step 4: Simplify right side
    2,259.39x = 5,455,152.86
  5. Step 5: Solve for x
    x = 5,455,152.86/2,259.39
  6. Step 6: Final answer
    x = 2,414.43

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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.