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Finding the Fourth Proportional to 2,589.92, 3,574.50 and 1,542.60

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Solution

The fourth proportional to 2,589.92, 3,574.50 and 1,542.60 is: 2,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.92 : 3,574.50 = 1,542.60 : x
  2. Step 2: Convert to fraction form
    2,589.92/3,574.50 = 1,542.60/x
  3. Step 3: Cross multiply
    2,589.92x = 3,574.50 × 1,542.60
  4. Step 4: Simplify right side
    2,589.92x = 5,514,023.70
  5. Step 5: Solve for x
    x = 5,514,023.70/2,589.92
  6. Step 6: Final answer
    x = 2,129.03

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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.