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Finding the Fourth Proportional to 2,489.55, 3,734.52 and 758.17

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Solution

The fourth proportional to 2,489.55, 3,734.52 and 758.17 is: 1,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.55 : 3,734.52 = 758.17 : x
  2. Step 2: Convert to fraction form
    2,489.55/3,734.52 = 758.17/x
  3. Step 3: Cross multiply
    2,489.55x = 3,734.52 × 758.17
  4. Step 4: Simplify right side
    2,489.55x = 2,831,401.03
  5. Step 5: Solve for x
    x = 2,831,401.03/2,489.55
  6. Step 6: Final answer
    x = 1,137.32

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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.