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Finding the Fourth Proportional to 2,618.98, 3,614.16 and 1,440.04

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Solution

The fourth proportional to 2,618.98, 3,614.16 and 1,440.04 is: 1,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.98 : 3,614.16 = 1,440.04 : x
  2. Step 2: Convert to fraction form
    2,618.98/3,614.16 = 1,440.04/x
  3. Step 3: Cross multiply
    2,618.98x = 3,614.16 × 1,440.04
  4. Step 4: Simplify right side
    2,618.98x = 5,204,534.97
  5. Step 5: Solve for x
    x = 5,204,534.97/2,618.98
  6. Step 6: Final answer
    x = 1,987.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.