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Finding the Fourth Proportional to 2,118.82, 3,177.96 and 885.82

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Solution

The fourth proportional to 2,118.82, 3,177.96 and 885.82 is: 1,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.82 : 3,177.96 = 885.82 : x
  2. Step 2: Convert to fraction form
    2,118.82/3,177.96 = 885.82/x
  3. Step 3: Cross multiply
    2,118.82x = 3,177.96 × 885.82
  4. Step 4: Simplify right side
    2,118.82x = 2,815,100.53
  5. Step 5: Solve for x
    x = 2,815,100.53/2,118.82
  6. Step 6: Final answer
    x = 1,328.62

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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.