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Finding the Fourth Proportional to 2,498.80, 3,446.58 and 1,659.08

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Solution

The fourth proportional to 2,498.80, 3,446.58 and 1,659.08 is: 2,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.80 : 3,446.58 = 1,659.08 : x
  2. Step 2: Convert to fraction form
    2,498.80/3,446.58 = 1,659.08/x
  3. Step 3: Cross multiply
    2,498.80x = 3,446.58 × 1,659.08
  4. Step 4: Simplify right side
    2,498.80x = 5,718,152.79
  5. Step 5: Solve for x
    x = 5,718,152.79/2,498.80
  6. Step 6: Final answer
    x = 2,288.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.