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Finding the Fourth Proportional to 2,180.45, 3,272.10 and 881.62

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Solution

The fourth proportional to 2,180.45, 3,272.10 and 881.62 is: 1,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.45 : 3,272.10 = 881.62 : x
  2. Step 2: Convert to fraction form
    2,180.45/3,272.10 = 881.62/x
  3. Step 3: Cross multiply
    2,180.45x = 3,272.10 × 881.62
  4. Step 4: Simplify right side
    2,180.45x = 2,884,737.32
  5. Step 5: Solve for x
    x = 2,884,737.32/2,180.45
  6. Step 6: Final answer
    x = 1,323.00

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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.