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Finding the Fourth Proportional to 2,871.90, 3,963.60 and 1,752.61

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Solution

The fourth proportional to 2,871.90, 3,963.60 and 1,752.61 is: 2,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.90 : 3,963.60 = 1,752.61 : x
  2. Step 2: Convert to fraction form
    2,871.90/3,963.60 = 1,752.61/x
  3. Step 3: Cross multiply
    2,871.90x = 3,963.60 × 1,752.61
  4. Step 4: Simplify right side
    2,871.90x = 6,946,616.41
  5. Step 5: Solve for x
    x = 6,946,616.41/2,871.90
  6. Step 6: Final answer
    x = 2,418.82

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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.