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Finding the Fourth Proportional to 2,665.26, 3,651.43 and 2,565.52

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Solution

The fourth proportional to 2,665.26, 3,651.43 and 2,565.52 is: 3,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.26 : 3,651.43 = 2,565.52 : x
  2. Step 2: Convert to fraction form
    2,665.26/3,651.43 = 2,565.52/x
  3. Step 3: Cross multiply
    2,665.26x = 3,651.43 × 2,565.52
  4. Step 4: Simplify right side
    2,665.26x = 9,367,816.69
  5. Step 5: Solve for x
    x = 9,367,816.69/2,665.26
  6. Step 6: Final answer
    x = 3,514.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.