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Finding the Fourth Proportional to 2,217.93, 3,327.48 and 985.05

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Solution

The fourth proportional to 2,217.93, 3,327.48 and 985.05 is: 1,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.93 : 3,327.48 = 985.05 : x
  2. Step 2: Convert to fraction form
    2,217.93/3,327.48 = 985.05/x
  3. Step 3: Cross multiply
    2,217.93x = 3,327.48 × 985.05
  4. Step 4: Simplify right side
    2,217.93x = 3,277,734.17
  5. Step 5: Solve for x
    x = 3,277,734.17/2,217.93
  6. Step 6: Final answer
    x = 1,477.83

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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.