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Finding the Fourth Proportional to 2,319.31, 3,479.28 and 759.03

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Solution

The fourth proportional to 2,319.31, 3,479.28 and 759.03 is: 1,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.31 : 3,479.28 = 759.03 : x
  2. Step 2: Convert to fraction form
    2,319.31/3,479.28 = 759.03/x
  3. Step 3: Cross multiply
    2,319.31x = 3,479.28 × 759.03
  4. Step 4: Simplify right side
    2,319.31x = 2,640,877.90
  5. Step 5: Solve for x
    x = 2,640,877.90/2,319.31
  6. Step 6: Final answer
    x = 1,138.65

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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.