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Finding the Fourth Proportional to 2,871.71, 3,963.16 and 1,929.08

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Solution

The fourth proportional to 2,871.71, 3,963.16 and 1,929.08 is: 2,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.71 : 3,963.16 = 1,929.08 : x
  2. Step 2: Convert to fraction form
    2,871.71/3,963.16 = 1,929.08/x
  3. Step 3: Cross multiply
    2,871.71x = 3,963.16 × 1,929.08
  4. Step 4: Simplify right side
    2,871.71x = 7,645,232.88
  5. Step 5: Solve for x
    x = 7,645,232.88/2,871.71
  6. Step 6: Final answer
    x = 2,662.26

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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.