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Finding the Fourth Proportional to 2,644.14, 3,967.28 and 1,001.16

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Solution

The fourth proportional to 2,644.14, 3,967.28 and 1,001.16 is: 1,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.14 : 3,967.28 = 1,001.16 : x
  2. Step 2: Convert to fraction form
    2,644.14/3,967.28 = 1,001.16/x
  3. Step 3: Cross multiply
    2,644.14x = 3,967.28 × 1,001.16
  4. Step 4: Simplify right side
    2,644.14x = 3,971,882.04
  5. Step 5: Solve for x
    x = 3,971,882.04/2,644.14
  6. Step 6: Final answer
    x = 1,502.15

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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.