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Finding the Fourth Proportional to 2,099.16, 3,151.17 and 1,127.16

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Solution

The fourth proportional to 2,099.16, 3,151.17 and 1,127.16 is: 1,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.16 : 3,151.17 = 1,127.16 : x
  2. Step 2: Convert to fraction form
    2,099.16/3,151.17 = 1,127.16/x
  3. Step 3: Cross multiply
    2,099.16x = 3,151.17 × 1,127.16
  4. Step 4: Simplify right side
    2,099.16x = 3,551,872.78
  5. Step 5: Solve for x
    x = 3,551,872.78/2,099.16
  6. Step 6: Final answer
    x = 1,692.04

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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.