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Finding the Fourth Proportional to 2,769.46, 4,155.63 and 1,127.22

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Solution

The fourth proportional to 2,769.46, 4,155.63 and 1,127.22 is: 1,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.46 : 4,155.63 = 1,127.22 : x
  2. Step 2: Convert to fraction form
    2,769.46/4,155.63 = 1,127.22/x
  3. Step 3: Cross multiply
    2,769.46x = 4,155.63 × 1,127.22
  4. Step 4: Simplify right side
    2,769.46x = 4,684,309.25
  5. Step 5: Solve for x
    x = 4,684,309.25/2,769.46
  6. Step 6: Final answer
    x = 1,691.42

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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.