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Finding the Fourth Proportional to 2,909.10, 4,363.60 and 717.85

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Solution

The fourth proportional to 2,909.10, 4,363.60 and 717.85 is: 1,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.10 : 4,363.60 = 717.85 : x
  2. Step 2: Convert to fraction form
    2,909.10/4,363.60 = 717.85/x
  3. Step 3: Cross multiply
    2,909.10x = 4,363.60 × 717.85
  4. Step 4: Simplify right side
    2,909.10x = 3,132,410.26
  5. Step 5: Solve for x
    x = 3,132,410.26/2,909.10
  6. Step 6: Final answer
    x = 1,076.76

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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.