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Finding the Fourth Proportional to 2,100.75, 3,151.26 and 867.74

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Solution

The fourth proportional to 2,100.75, 3,151.26 and 867.74 is: 1,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.75 : 3,151.26 = 867.74 : x
  2. Step 2: Convert to fraction form
    2,100.75/3,151.26 = 867.74/x
  3. Step 3: Cross multiply
    2,100.75x = 3,151.26 × 867.74
  4. Step 4: Simplify right side
    2,100.75x = 2,734,458.60
  5. Step 5: Solve for x
    x = 2,734,458.60/2,100.75
  6. Step 6: Final answer
    x = 1,301.66

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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.