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Finding the Fourth Proportional to 2,179.46, 3,271.54 and 881.78

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Solution

The fourth proportional to 2,179.46, 3,271.54 and 881.78 is: 1,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.46 : 3,271.54 = 881.78 : x
  2. Step 2: Convert to fraction form
    2,179.46/3,271.54 = 881.78/x
  3. Step 3: Cross multiply
    2,179.46x = 3,271.54 × 881.78
  4. Step 4: Simplify right side
    2,179.46x = 2,884,778.54
  5. Step 5: Solve for x
    x = 2,884,778.54/2,179.46
  6. Step 6: Final answer
    x = 1,323.62

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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.