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Finding the Fourth Proportional to 2,498.64, 3,449.81 and 1,660.98

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Solution

The fourth proportional to 2,498.64, 3,449.81 and 1,660.98 is: 2,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.64 : 3,449.81 = 1,660.98 : x
  2. Step 2: Convert to fraction form
    2,498.64/3,449.81 = 1,660.98/x
  3. Step 3: Cross multiply
    2,498.64x = 3,449.81 × 1,660.98
  4. Step 4: Simplify right side
    2,498.64x = 5,730,065.41
  5. Step 5: Solve for x
    x = 5,730,065.41/2,498.64
  6. Step 6: Final answer
    x = 2,293.27

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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.