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Finding the Fourth Proportional to 2,718.20, 4,077.90 and 869.42

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Solution

The fourth proportional to 2,718.20, 4,077.90 and 869.42 is: 1,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.20 : 4,077.90 = 869.42 : x
  2. Step 2: Convert to fraction form
    2,718.20/4,077.90 = 869.42/x
  3. Step 3: Cross multiply
    2,718.20x = 4,077.90 × 869.42
  4. Step 4: Simplify right side
    2,718.20x = 3,545,407.82
  5. Step 5: Solve for x
    x = 3,545,407.82/2,718.20
  6. Step 6: Final answer
    x = 1,304.32

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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.