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Finding the Fourth Proportional to 2,116.24, 3,167.16 and 1,252.24

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Solution

The fourth proportional to 2,116.24, 3,167.16 and 1,252.24 is: 1,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.24 : 3,167.16 = 1,252.24 : x
  2. Step 2: Convert to fraction form
    2,116.24/3,167.16 = 1,252.24/x
  3. Step 3: Cross multiply
    2,116.24x = 3,167.16 × 1,252.24
  4. Step 4: Simplify right side
    2,116.24x = 3,966,044.44
  5. Step 5: Solve for x
    x = 3,966,044.44/2,116.24
  6. Step 6: Final answer
    x = 1,874.10

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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.