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Finding the Fourth Proportional to 2,498.90, 3,449.04 and 1,702.68

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Solution

The fourth proportional to 2,498.90, 3,449.04 and 1,702.68 is: 2,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.90 : 3,449.04 = 1,702.68 : x
  2. Step 2: Convert to fraction form
    2,498.90/3,449.04 = 1,702.68/x
  3. Step 3: Cross multiply
    2,498.90x = 3,449.04 × 1,702.68
  4. Step 4: Simplify right side
    2,498.90x = 5,872,611.43
  5. Step 5: Solve for x
    x = 5,872,611.43/2,498.90
  6. Step 6: Final answer
    x = 2,350.08

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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.