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Finding the Fourth Proportional to 2,008.86, 3,013.35 and 759.18

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Solution

The fourth proportional to 2,008.86, 3,013.35 and 759.18 is: 1,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.86 : 3,013.35 = 759.18 : x
  2. Step 2: Convert to fraction form
    2,008.86/3,013.35 = 759.18/x
  3. Step 3: Cross multiply
    2,008.86x = 3,013.35 × 759.18
  4. Step 4: Simplify right side
    2,008.86x = 2,287,675.05
  5. Step 5: Solve for x
    x = 2,287,675.05/2,008.86
  6. Step 6: Final answer
    x = 1,138.79

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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.