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Finding the Fourth Proportional to 1,540.71, 2,126.33 and 911.44

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Solution

The fourth proportional to 1,540.71, 2,126.33 and 911.44 is: 1,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.71 : 2,126.33 = 911.44 : x
  2. Step 2: Convert to fraction form
    1,540.71/2,126.33 = 911.44/x
  3. Step 3: Cross multiply
    1,540.71x = 2,126.33 × 911.44
  4. Step 4: Simplify right side
    1,540.71x = 1,938,022.22
  5. Step 5: Solve for x
    x = 1,938,022.22/1,540.71
  6. Step 6: Final answer
    x = 1,257.88

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Why These Related Problems?

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