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Finding the Fourth Proportional to 2,254.44, 3,111.19 and 1,259.83

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Solution

The fourth proportional to 2,254.44, 3,111.19 and 1,259.83 is: 1,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.44 : 3,111.19 = 1,259.83 : x
  2. Step 2: Convert to fraction form
    2,254.44/3,111.19 = 1,259.83/x
  3. Step 3: Cross multiply
    2,254.44x = 3,111.19 × 1,259.83
  4. Step 4: Simplify right side
    2,254.44x = 3,919,548.64
  5. Step 5: Solve for x
    x = 3,919,548.64/2,254.44
  6. Step 6: Final answer
    x = 1,738.59

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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.