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Finding the Fourth Proportional to 2,725.69, 3,761.33 and 1,514.29

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Solution

The fourth proportional to 2,725.69, 3,761.33 and 1,514.29 is: 2,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.69 : 3,761.33 = 1,514.29 : x
  2. Step 2: Convert to fraction form
    2,725.69/3,761.33 = 1,514.29/x
  3. Step 3: Cross multiply
    2,725.69x = 3,761.33 × 1,514.29
  4. Step 4: Simplify right side
    2,725.69x = 5,695,744.41
  5. Step 5: Solve for x
    x = 5,695,744.41/2,725.69
  6. Step 6: Final answer
    x = 2,089.65

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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.