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Finding the Fourth Proportional to 1,691.18, 2,324.86 and 1,454.26

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Solution

The fourth proportional to 1,691.18, 2,324.86 and 1,454.26 is: 1,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.18 : 2,324.86 = 1,454.26 : x
  2. Step 2: Convert to fraction form
    1,691.18/2,324.86 = 1,454.26/x
  3. Step 3: Cross multiply
    1,691.18x = 2,324.86 × 1,454.26
  4. Step 4: Simplify right side
    1,691.18x = 3,380,939.28
  5. Step 5: Solve for x
    x = 3,380,939.28/1,691.18
  6. Step 6: Final answer
    x = 1,999.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.