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Finding the Fourth Proportional to 2,871.16, 3,959.77 and 2,425.22

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Solution

The fourth proportional to 2,871.16, 3,959.77 and 2,425.22 is: 3,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.16 : 3,959.77 = 2,425.22 : x
  2. Step 2: Convert to fraction form
    2,871.16/3,959.77 = 2,425.22/x
  3. Step 3: Cross multiply
    2,871.16x = 3,959.77 × 2,425.22
  4. Step 4: Simplify right side
    2,871.16x = 9,603,306.03
  5. Step 5: Solve for x
    x = 9,603,306.03/2,871.16
  6. Step 6: Final answer
    x = 3,344.75

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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.