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Finding the Fourth Proportional to 2,266.92, 3,127.80 and 1,272.24

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Solution

The fourth proportional to 2,266.92, 3,127.80 and 1,272.24 is: 1,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.92 : 3,127.80 = 1,272.24 : x
  2. Step 2: Convert to fraction form
    2,266.92/3,127.80 = 1,272.24/x
  3. Step 3: Cross multiply
    2,266.92x = 3,127.80 × 1,272.24
  4. Step 4: Simplify right side
    2,266.92x = 3,979,312.27
  5. Step 5: Solve for x
    x = 3,979,312.27/2,266.92
  6. Step 6: Final answer
    x = 1,755.38

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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.