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Finding the Fourth Proportional to 2,319.02, 3,478.75 and 759.04

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Solution

The fourth proportional to 2,319.02, 3,478.75 and 759.04 is: 1,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.02 : 3,478.75 = 759.04 : x
  2. Step 2: Convert to fraction form
    2,319.02/3,478.75 = 759.04/x
  3. Step 3: Cross multiply
    2,319.02x = 3,478.75 × 759.04
  4. Step 4: Simplify right side
    2,319.02x = 2,640,489.21
  5. Step 5: Solve for x
    x = 2,640,489.21/2,319.02
  6. Step 6: Final answer
    x = 1,138.62

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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.