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Finding the Fourth Proportional to 2,166.95, 3,251.34 and 1,127.22

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Solution

The fourth proportional to 2,166.95, 3,251.34 and 1,127.22 is: 1,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.95 : 3,251.34 = 1,127.22 : x
  2. Step 2: Convert to fraction form
    2,166.95/3,251.34 = 1,127.22/x
  3. Step 3: Cross multiply
    2,166.95x = 3,251.34 × 1,127.22
  4. Step 4: Simplify right side
    2,166.95x = 3,664,963.28
  5. Step 5: Solve for x
    x = 3,664,963.28/2,166.95
  6. Step 6: Final answer
    x = 1,691.30

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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.