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Finding the Fourth Proportional to 2,100.26, 3,151.11 and 801.92

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Solution

The fourth proportional to 2,100.26, 3,151.11 and 801.92 is: 1,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.26 : 3,151.11 = 801.92 : x
  2. Step 2: Convert to fraction form
    2,100.26/3,151.11 = 801.92/x
  3. Step 3: Cross multiply
    2,100.26x = 3,151.11 × 801.92
  4. Step 4: Simplify right side
    2,100.26x = 2,526,938.13
  5. Step 5: Solve for x
    x = 2,526,938.13/2,100.26
  6. Step 6: Final answer
    x = 1,203.15

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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.