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Finding the Fourth Proportional to 4,489.56, 6,734.24 and 1,202.65

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Solution

The fourth proportional to 4,489.56, 6,734.24 and 1,202.65 is: 1,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.56 : 6,734.24 = 1,202.65 : x
  2. Step 2: Convert to fraction form
    4,489.56/6,734.24 = 1,202.65/x
  3. Step 3: Cross multiply
    4,489.56x = 6,734.24 × 1,202.65
  4. Step 4: Simplify right side
    4,489.56x = 8,098,933.74
  5. Step 5: Solve for x
    x = 8,098,933.74/4,489.56
  6. Step 6: Final answer
    x = 1,803.95

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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.