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Finding the Fourth Proportional to 2,498.97, 3,744.34 and 854.62

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Solution

The fourth proportional to 2,498.97, 3,744.34 and 854.62 is: 1,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.97 : 3,744.34 = 854.62 : x
  2. Step 2: Convert to fraction form
    2,498.97/3,744.34 = 854.62/x
  3. Step 3: Cross multiply
    2,498.97x = 3,744.34 × 854.62
  4. Step 4: Simplify right side
    2,498.97x = 3,199,981.16
  5. Step 5: Solve for x
    x = 3,199,981.16/2,498.97
  6. Step 6: Final answer
    x = 1,280.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.