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Finding the Fourth Proportional to 3,102.49, 4,282.23 and 1,922.86

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Solution

The fourth proportional to 3,102.49, 4,282.23 and 1,922.86 is: 2,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.49 : 4,282.23 = 1,922.86 : x
  2. Step 2: Convert to fraction form
    3,102.49/4,282.23 = 1,922.86/x
  3. Step 3: Cross multiply
    3,102.49x = 4,282.23 × 1,922.86
  4. Step 4: Simplify right side
    3,102.49x = 8,234,128.78
  5. Step 5: Solve for x
    x = 8,234,128.78/3,102.49
  6. Step 6: Final answer
    x = 2,654.04

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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.