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Finding the Fourth Proportional to 2,100.58, 3,149.44 and 867.62

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Solution

The fourth proportional to 2,100.58, 3,149.44 and 867.62 is: 1,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.58 : 3,149.44 = 867.62 : x
  2. Step 2: Convert to fraction form
    2,100.58/3,149.44 = 867.62/x
  3. Step 3: Cross multiply
    2,100.58x = 3,149.44 × 867.62
  4. Step 4: Simplify right side
    2,100.58x = 2,732,517.13
  5. Step 5: Solve for x
    x = 2,732,517.13/2,100.58
  6. Step 6: Final answer
    x = 1,300.84

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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.