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Finding the Fourth Proportional to 2,257.26, 3,114.42 and 1,549.32

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Solution

The fourth proportional to 2,257.26, 3,114.42 and 1,549.32 is: 2,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.26 : 3,114.42 = 1,549.32 : x
  2. Step 2: Convert to fraction form
    2,257.26/3,114.42 = 1,549.32/x
  3. Step 3: Cross multiply
    2,257.26x = 3,114.42 × 1,549.32
  4. Step 4: Simplify right side
    2,257.26x = 4,825,215.71
  5. Step 5: Solve for x
    x = 4,825,215.71/2,257.26
  6. Step 6: Final answer
    x = 2,137.65

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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.