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Finding the Fourth Proportional to 2,721.30, 4,080.66 and 871.98

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Solution

The fourth proportional to 2,721.30, 4,080.66 and 871.98 is: 1,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.30 : 4,080.66 = 871.98 : x
  2. Step 2: Convert to fraction form
    2,721.30/4,080.66 = 871.98/x
  3. Step 3: Cross multiply
    2,721.30x = 4,080.66 × 871.98
  4. Step 4: Simplify right side
    2,721.30x = 3,558,253.91
  5. Step 5: Solve for x
    x = 3,558,253.91/2,721.30
  6. Step 6: Final answer
    x = 1,307.56

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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.