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Finding the Fourth Proportional to 2,615.82, 3,920.17 and 1,444.08

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Solution

The fourth proportional to 2,615.82, 3,920.17 and 1,444.08 is: 2,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.82 : 3,920.17 = 1,444.08 : x
  2. Step 2: Convert to fraction form
    2,615.82/3,920.17 = 1,444.08/x
  3. Step 3: Cross multiply
    2,615.82x = 3,920.17 × 1,444.08
  4. Step 4: Simplify right side
    2,615.82x = 5,661,034.90
  5. Step 5: Solve for x
    x = 5,661,034.90/2,615.82
  6. Step 6: Final answer
    x = 2,164.15

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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.