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Finding the Fourth Proportional to 2,217.92, 3,317.08 and 1,972.85

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Solution

The fourth proportional to 2,217.92, 3,317.08 and 1,972.85 is: 2,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.92 : 3,317.08 = 1,972.85 : x
  2. Step 2: Convert to fraction form
    2,217.92/3,317.08 = 1,972.85/x
  3. Step 3: Cross multiply
    2,217.92x = 3,317.08 × 1,972.85
  4. Step 4: Simplify right side
    2,217.92x = 6,544,074.83
  5. Step 5: Solve for x
    x = 6,544,074.83/2,217.92
  6. Step 6: Final answer
    x = 2,950.55

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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.