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Finding the Fourth Proportional to 2,498.58, 3,449.48 and 1,660.42

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Solution

The fourth proportional to 2,498.58, 3,449.48 and 1,660.42 is: 2,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.58 : 3,449.48 = 1,660.42 : x
  2. Step 2: Convert to fraction form
    2,498.58/3,449.48 = 1,660.42/x
  3. Step 3: Cross multiply
    2,498.58x = 3,449.48 × 1,660.42
  4. Step 4: Simplify right side
    2,498.58x = 5,727,585.58
  5. Step 5: Solve for x
    x = 5,727,585.58/2,498.58
  6. Step 6: Final answer
    x = 2,292.34

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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.