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Finding the Fourth Proportional to 2,187.40, 3,282.78 and 889.96

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Solution

The fourth proportional to 2,187.40, 3,282.78 and 889.96 is: 1,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.40 : 3,282.78 = 889.96 : x
  2. Step 2: Convert to fraction form
    2,187.40/3,282.78 = 889.96/x
  3. Step 3: Cross multiply
    2,187.40x = 3,282.78 × 889.96
  4. Step 4: Simplify right side
    2,187.40x = 2,921,542.89
  5. Step 5: Solve for x
    x = 2,921,542.89/2,187.40
  6. Step 6: Final answer
    x = 1,335.62

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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.