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Finding the Fourth Proportional to 2,813.72, 4,220.62 and 966.13

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Solution

The fourth proportional to 2,813.72, 4,220.62 and 966.13 is: 1,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.72 : 4,220.62 = 966.13 : x
  2. Step 2: Convert to fraction form
    2,813.72/4,220.62 = 966.13/x
  3. Step 3: Cross multiply
    2,813.72x = 4,220.62 × 966.13
  4. Step 4: Simplify right side
    2,813.72x = 4,077,668.97
  5. Step 5: Solve for x
    x = 4,077,668.97/2,813.72
  6. Step 6: Final answer
    x = 1,449.21

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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.