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Finding the Fourth Proportional to 2,447.28, 3,671.64 and 985.68

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Solution

The fourth proportional to 2,447.28, 3,671.64 and 985.68 is: 1,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.28 : 3,671.64 = 985.68 : x
  2. Step 2: Convert to fraction form
    2,447.28/3,671.64 = 985.68/x
  3. Step 3: Cross multiply
    2,447.28x = 3,671.64 × 985.68
  4. Step 4: Simplify right side
    2,447.28x = 3,619,062.12
  5. Step 5: Solve for x
    x = 3,619,062.12/2,447.28
  6. Step 6: Final answer
    x = 1,478.81

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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.