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Finding the Fourth Proportional to 2,340.88, 3,514.39 and 1,565.87

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Solution

The fourth proportional to 2,340.88, 3,514.39 and 1,565.87 is: 2,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.88 : 3,514.39 = 1,565.87 : x
  2. Step 2: Convert to fraction form
    2,340.88/3,514.39 = 1,565.87/x
  3. Step 3: Cross multiply
    2,340.88x = 3,514.39 × 1,565.87
  4. Step 4: Simplify right side
    2,340.88x = 5,503,077.87
  5. Step 5: Solve for x
    x = 5,503,077.87/2,340.88
  6. Step 6: Final answer
    x = 2,350.86

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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.