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Finding the Fourth Proportional to 2,531.75, 3,798.30 and 800.38

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Solution

The fourth proportional to 2,531.75, 3,798.30 and 800.38 is: 1,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.75 : 3,798.30 = 800.38 : x
  2. Step 2: Convert to fraction form
    2,531.75/3,798.30 = 800.38/x
  3. Step 3: Cross multiply
    2,531.75x = 3,798.30 × 800.38
  4. Step 4: Simplify right side
    2,531.75x = 3,040,064.36
  5. Step 5: Solve for x
    x = 3,040,064.36/2,531.75
  6. Step 6: Final answer
    x = 1,200.78

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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.