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Finding the Fourth Proportional to 1,691.15, 2,534.11 and 1,172.17

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Solution

The fourth proportional to 1,691.15, 2,534.11 and 1,172.17 is: 1,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.15 : 2,534.11 = 1,172.17 : x
  2. Step 2: Convert to fraction form
    1,691.15/2,534.11 = 1,172.17/x
  3. Step 3: Cross multiply
    1,691.15x = 2,534.11 × 1,172.17
  4. Step 4: Simplify right side
    1,691.15x = 2,970,404.31
  5. Step 5: Solve for x
    x = 2,970,404.31/1,691.15
  6. Step 6: Final answer
    x = 1,756.44

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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.