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Finding the Fourth Proportional to 1,252.26, 1,869.21 and 1,114.97

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Solution

The fourth proportional to 1,252.26, 1,869.21 and 1,114.97 is: 1,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.26 : 1,869.21 = 1,114.97 : x
  2. Step 2: Convert to fraction form
    1,252.26/1,869.21 = 1,114.97/x
  3. Step 3: Cross multiply
    1,252.26x = 1,869.21 × 1,114.97
  4. Step 4: Simplify right side
    1,252.26x = 2,084,103.73
  5. Step 5: Solve for x
    x = 2,084,103.73/1,252.26
  6. Step 6: Final answer
    x = 1,664.27

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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.