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Finding the Fourth Proportional to 2,514.13, 3,770.49 and 759.13

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Solution

The fourth proportional to 2,514.13, 3,770.49 and 759.13 is: 1,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.13 : 3,770.49 = 759.13 : x
  2. Step 2: Convert to fraction form
    2,514.13/3,770.49 = 759.13/x
  3. Step 3: Cross multiply
    2,514.13x = 3,770.49 × 759.13
  4. Step 4: Simplify right side
    2,514.13x = 2,862,292.07
  5. Step 5: Solve for x
    x = 2,862,292.07/2,514.13
  6. Step 6: Final answer
    x = 1,138.48

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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.