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Finding the Fourth Proportional to 1,192.17, 1,781.11 and 1,151.25

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Solution

The fourth proportional to 1,192.17, 1,781.11 and 1,151.25 is: 1,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.17 : 1,781.11 = 1,151.25 : x
  2. Step 2: Convert to fraction form
    1,192.17/1,781.11 = 1,151.25/x
  3. Step 3: Cross multiply
    1,192.17x = 1,781.11 × 1,151.25
  4. Step 4: Simplify right side
    1,192.17x = 2,050,500.01
  5. Step 5: Solve for x
    x = 2,050,500.01/1,192.17
  6. Step 6: Final answer
    x = 1,719.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.