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Finding the Fourth Proportional to 2,498.73, 3,448.62 and 1,436.69

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Solution

The fourth proportional to 2,498.73, 3,448.62 and 1,436.69 is: 1,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.73 : 3,448.62 = 1,436.69 : x
  2. Step 2: Convert to fraction form
    2,498.73/3,448.62 = 1,436.69/x
  3. Step 3: Cross multiply
    2,498.73x = 3,448.62 × 1,436.69
  4. Step 4: Simplify right side
    2,498.73x = 4,954,580.62
  5. Step 5: Solve for x
    x = 4,954,580.62/2,498.73
  6. Step 6: Final answer
    x = 1,982.84

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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.