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Finding the Fourth Proportional to 1,540.77, 2,126.75 and 911.27

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Solution

The fourth proportional to 1,540.77, 2,126.75 and 911.27 is: 1,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.77 : 2,126.75 = 911.27 : x
  2. Step 2: Convert to fraction form
    1,540.77/2,126.75 = 911.27/x
  3. Step 3: Cross multiply
    1,540.77x = 2,126.75 × 911.27
  4. Step 4: Simplify right side
    1,540.77x = 1,938,028.28
  5. Step 5: Solve for x
    x = 1,938,028.28/1,540.77
  6. Step 6: Final answer
    x = 1,257.83

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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.