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Finding the Fourth Proportional to 1,691.11, 2,332.90 and 1,131.71

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Solution

The fourth proportional to 1,691.11, 2,332.90 and 1,131.71 is: 1,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.11 : 2,332.90 = 1,131.71 : x
  2. Step 2: Convert to fraction form
    1,691.11/2,332.90 = 1,131.71/x
  3. Step 3: Cross multiply
    1,691.11x = 2,332.90 × 1,131.71
  4. Step 4: Simplify right side
    1,691.11x = 2,640,156.01
  5. Step 5: Solve for x
    x = 2,640,156.01/1,691.11
  6. Step 6: Final answer
    x = 1,561.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.