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Finding the Fourth Proportional to 2,100.92, 3,149.08 and 867.66

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Solution

The fourth proportional to 2,100.92, 3,149.08 and 867.66 is: 1,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.92 : 3,149.08 = 867.66 : x
  2. Step 2: Convert to fraction form
    2,100.92/3,149.08 = 867.66/x
  3. Step 3: Cross multiply
    2,100.92x = 3,149.08 × 867.66
  4. Step 4: Simplify right side
    2,100.92x = 2,732,326.41
  5. Step 5: Solve for x
    x = 2,732,326.41/2,100.92
  6. Step 6: Final answer
    x = 1,300.54

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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.