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Finding the Fourth Proportional to 2,223.92, 3,069.96 and 1,606.16

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Solution

The fourth proportional to 2,223.92, 3,069.96 and 1,606.16 is: 2,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.92 : 3,069.96 = 1,606.16 : x
  2. Step 2: Convert to fraction form
    2,223.92/3,069.96 = 1,606.16/x
  3. Step 3: Cross multiply
    2,223.92x = 3,069.96 × 1,606.16
  4. Step 4: Simplify right side
    2,223.92x = 4,930,846.95
  5. Step 5: Solve for x
    x = 4,930,846.95/2,223.92
  6. Step 6: Final answer
    x = 2,217.19

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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.