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Finding the Fourth Proportional to 1,747.69, 2,621.53 and 449.16

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Solution

The fourth proportional to 1,747.69, 2,621.53 and 449.16 is: 673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.69 : 2,621.53 = 449.16 : x
  2. Step 2: Convert to fraction form
    1,747.69/2,621.53 = 449.16/x
  3. Step 3: Cross multiply
    1,747.69x = 2,621.53 × 449.16
  4. Step 4: Simplify right side
    1,747.69x = 1,177,480.98
  5. Step 5: Solve for x
    x = 1,177,480.98/1,747.69
  6. Step 6: Final answer
    x = 673.74

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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.