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Finding the Fourth Proportional to 2,871.27, 4,304.88 and 1,409.49

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Solution

The fourth proportional to 2,871.27, 4,304.88 and 1,409.49 is: 2,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.27 : 4,304.88 = 1,409.49 : x
  2. Step 2: Convert to fraction form
    2,871.27/4,304.88 = 1,409.49/x
  3. Step 3: Cross multiply
    2,871.27x = 4,304.88 × 1,409.49
  4. Step 4: Simplify right side
    2,871.27x = 6,067,685.31
  5. Step 5: Solve for x
    x = 6,067,685.31/2,871.27
  6. Step 6: Final answer
    x = 2,113.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.