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Finding the Fourth Proportional to 2,447.27, 3,671.25 and 803.45

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Solution

The fourth proportional to 2,447.27, 3,671.25 and 803.45 is: 1,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.27 : 3,671.25 = 803.45 : x
  2. Step 2: Convert to fraction form
    2,447.27/3,671.25 = 803.45/x
  3. Step 3: Cross multiply
    2,447.27x = 3,671.25 × 803.45
  4. Step 4: Simplify right side
    2,447.27x = 2,949,665.81
  5. Step 5: Solve for x
    x = 2,949,665.81/2,447.27
  6. Step 6: Final answer
    x = 1,205.29

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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.