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Finding the Fourth Proportional to 2,217.92, 3,064.80 and 1,922.24

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Solution

The fourth proportional to 2,217.92, 3,064.80 and 1,922.24 is: 2,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.92 : 3,064.80 = 1,922.24 : x
  2. Step 2: Convert to fraction form
    2,217.92/3,064.80 = 1,922.24/x
  3. Step 3: Cross multiply
    2,217.92x = 3,064.80 × 1,922.24
  4. Step 4: Simplify right side
    2,217.92x = 5,891,281.15
  5. Step 5: Solve for x
    x = 5,891,281.15/2,217.92
  6. Step 6: Final answer
    x = 2,656.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.