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Finding the Fourth Proportional to 2,497.99, 3,447.25 and 1,378.97

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Solution

The fourth proportional to 2,497.99, 3,447.25 and 1,378.97 is: 1,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.99 : 3,447.25 = 1,378.97 : x
  2. Step 2: Convert to fraction form
    2,497.99/3,447.25 = 1,378.97/x
  3. Step 3: Cross multiply
    2,497.99x = 3,447.25 × 1,378.97
  4. Step 4: Simplify right side
    2,497.99x = 4,753,654.33
  5. Step 5: Solve for x
    x = 4,753,654.33/2,497.99
  6. Step 6: Final answer
    x = 1,902.99

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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.