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Finding the Fourth Proportional to 3,049.68, 4,567.14 and 1,747.20

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Solution

The fourth proportional to 3,049.68, 4,567.14 and 1,747.20 is: 2,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.68 : 4,567.14 = 1,747.20 : x
  2. Step 2: Convert to fraction form
    3,049.68/4,567.14 = 1,747.20/x
  3. Step 3: Cross multiply
    3,049.68x = 4,567.14 × 1,747.20
  4. Step 4: Simplify right side
    3,049.68x = 7,979,707.01
  5. Step 5: Solve for x
    x = 7,979,707.01/3,049.68
  6. Step 6: Final answer
    x = 2,616.57

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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.