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Finding the Fourth Proportional to 2,447.73, 3,679.71 and 1,900.17

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Solution

The fourth proportional to 2,447.73, 3,679.71 and 1,900.17 is: 2,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.73 : 3,679.71 = 1,900.17 : x
  2. Step 2: Convert to fraction form
    2,447.73/3,679.71 = 1,900.17/x
  3. Step 3: Cross multiply
    2,447.73x = 3,679.71 × 1,900.17
  4. Step 4: Simplify right side
    2,447.73x = 6,992,074.55
  5. Step 5: Solve for x
    x = 6,992,074.55/2,447.73
  6. Step 6: Final answer
    x = 2,856.55

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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.