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Finding the Fourth Proportional to 2,498.88, 3,449.26 and 1,614

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Solution

The fourth proportional to 2,498.88, 3,449.26 and 1,614 is: 2,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.88 : 3,449.26 = 1,614 : x
  2. Step 2: Convert to fraction form
    2,498.88/3,449.26 = 1,614/x
  3. Step 3: Cross multiply
    2,498.88x = 3,449.26 × 1,614
  4. Step 4: Simplify right side
    2,498.88x = 5,567,105.64
  5. Step 5: Solve for x
    x = 5,567,105.64/2,498.88
  6. Step 6: Final answer
    x = 2,227.84

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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.