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Finding the Fourth Proportional to 1,743.80, 2,616.10 and 769.91

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Solution

The fourth proportional to 1,743.80, 2,616.10 and 769.91 is: 1,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.80 : 2,616.10 = 769.91 : x
  2. Step 2: Convert to fraction form
    1,743.80/2,616.10 = 769.91/x
  3. Step 3: Cross multiply
    1,743.80x = 2,616.10 × 769.91
  4. Step 4: Simplify right side
    1,743.80x = 2,014,146.55
  5. Step 5: Solve for x
    x = 2,014,146.55/1,743.80
  6. Step 6: Final answer
    x = 1,155.04

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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.