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Finding the Fourth Proportional to 2,270.97, 3,133.98 and 1,276.29

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Solution

The fourth proportional to 2,270.97, 3,133.98 and 1,276.29 is: 1,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.97 : 3,133.98 = 1,276.29 : x
  2. Step 2: Convert to fraction form
    2,270.97/3,133.98 = 1,276.29/x
  3. Step 3: Cross multiply
    2,270.97x = 3,133.98 × 1,276.29
  4. Step 4: Simplify right side
    2,270.97x = 3,999,867.33
  5. Step 5: Solve for x
    x = 3,999,867.33/2,270.97
  6. Step 6: Final answer
    x = 1,761.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.