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Finding the Fourth Proportional to 2,270.90, 3,133.09 and 1,275.97

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Solution

The fourth proportional to 2,270.90, 3,133.09 and 1,275.97 is: 1,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.90 : 3,133.09 = 1,275.97 : x
  2. Step 2: Convert to fraction form
    2,270.90/3,133.09 = 1,275.97/x
  3. Step 3: Cross multiply
    2,270.90x = 3,133.09 × 1,275.97
  4. Step 4: Simplify right side
    2,270.90x = 3,997,721.31
  5. Step 5: Solve for x
    x = 3,997,721.31/2,270.90
  6. Step 6: Final answer
    x = 1,760.41

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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.