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Finding the Fourth Proportional to 2,217.74, 3,327.35 and 985.23

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Solution

The fourth proportional to 2,217.74, 3,327.35 and 985.23 is: 1,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.74 : 3,327.35 = 985.23 : x
  2. Step 2: Convert to fraction form
    2,217.74/3,327.35 = 985.23/x
  3. Step 3: Cross multiply
    2,217.74x = 3,327.35 × 985.23
  4. Step 4: Simplify right side
    2,217.74x = 3,278,200.11
  5. Step 5: Solve for x
    x = 3,278,200.11/2,217.74
  6. Step 6: Final answer
    x = 1,478.17

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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.