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Finding the Fourth Proportional to 2,871.97, 3,962.81 and 1,613.08

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Solution

The fourth proportional to 2,871.97, 3,962.81 and 1,613.08 is: 2,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.97 : 3,962.81 = 1,613.08 : x
  2. Step 2: Convert to fraction form
    2,871.97/3,962.81 = 1,613.08/x
  3. Step 3: Cross multiply
    2,871.97x = 3,962.81 × 1,613.08
  4. Step 4: Simplify right side
    2,871.97x = 6,392,329.55
  5. Step 5: Solve for x
    x = 6,392,329.55/2,871.97
  6. Step 6: Final answer
    x = 2,225.76

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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.