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Finding the Fourth Proportional to 3,242.62, 4,470.15 and 2,309.50

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Solution

The fourth proportional to 3,242.62, 4,470.15 and 2,309.50 is: 3,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.62 : 4,470.15 = 2,309.50 : x
  2. Step 2: Convert to fraction form
    3,242.62/4,470.15 = 2,309.50/x
  3. Step 3: Cross multiply
    3,242.62x = 4,470.15 × 2,309.50
  4. Step 4: Simplify right side
    3,242.62x = 10,323,811.43
  5. Step 5: Solve for x
    x = 10,323,811.43/3,242.62
  6. Step 6: Final answer
    x = 3,183.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.