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Finding the Fourth Proportional to 2,207.24, 3,323.98 and 1,922.12

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Solution

The fourth proportional to 2,207.24, 3,323.98 and 1,922.12 is: 2,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.24 : 3,323.98 = 1,922.12 : x
  2. Step 2: Convert to fraction form
    2,207.24/3,323.98 = 1,922.12/x
  3. Step 3: Cross multiply
    2,207.24x = 3,323.98 × 1,922.12
  4. Step 4: Simplify right side
    2,207.24x = 6,389,088.44
  5. Step 5: Solve for x
    x = 6,389,088.44/2,207.24
  6. Step 6: Final answer
    x = 2,894.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.