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Finding the Fourth Proportional to 2,881.04, 3,979 and 1,947.92

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Solution

The fourth proportional to 2,881.04, 3,979 and 1,947.92 is: 2,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.04 : 3,979 = 1,947.92 : x
  2. Step 2: Convert to fraction form
    2,881.04/3,979 = 1,947.92/x
  3. Step 3: Cross multiply
    2,881.04x = 3,979 × 1,947.92
  4. Step 4: Simplify right side
    2,881.04x = 7,750,773.68
  5. Step 5: Solve for x
    x = 7,750,773.68/2,881.04
  6. Step 6: Final answer
    x = 2,690.27

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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.