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Finding the Fourth Proportional to 2,249.31, 3,104.04 and 1,254.63

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Solution

The fourth proportional to 2,249.31, 3,104.04 and 1,254.63 is: 1,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.31 : 3,104.04 = 1,254.63 : x
  2. Step 2: Convert to fraction form
    2,249.31/3,104.04 = 1,254.63/x
  3. Step 3: Cross multiply
    2,249.31x = 3,104.04 × 1,254.63
  4. Step 4: Simplify right side
    2,249.31x = 3,894,421.71
  5. Step 5: Solve for x
    x = 3,894,421.71/2,249.31
  6. Step 6: Final answer
    x = 1,731.39

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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.