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Finding the Fourth Proportional to 2,447.52, 3,667.34 and 1,275.78

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Solution

The fourth proportional to 2,447.52, 3,667.34 and 1,275.78 is: 1,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.52 : 3,667.34 = 1,275.78 : x
  2. Step 2: Convert to fraction form
    2,447.52/3,667.34 = 1,275.78/x
  3. Step 3: Cross multiply
    2,447.52x = 3,667.34 × 1,275.78
  4. Step 4: Simplify right side
    2,447.52x = 4,678,735.97
  5. Step 5: Solve for x
    x = 4,678,735.97/2,447.52
  6. Step 6: Final answer
    x = 1,911.63

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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.