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Finding the Fourth Proportional to 2,254.70, 3,111.20 and 1,259.97

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Solution

The fourth proportional to 2,254.70, 3,111.20 and 1,259.97 is: 1,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.70 : 3,111.20 = 1,259.97 : x
  2. Step 2: Convert to fraction form
    2,254.70/3,111.20 = 1,259.97/x
  3. Step 3: Cross multiply
    2,254.70x = 3,111.20 × 1,259.97
  4. Step 4: Simplify right side
    2,254.70x = 3,920,012.36
  5. Step 5: Solve for x
    x = 3,920,012.36/2,254.70
  6. Step 6: Final answer
    x = 1,738.60

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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.