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Finding the Fourth Proportional to 2,447.24, 3,671.20 and 803.22

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Solution

The fourth proportional to 2,447.24, 3,671.20 and 803.22 is: 1,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.24 : 3,671.20 = 803.22 : x
  2. Step 2: Convert to fraction form
    2,447.24/3,671.20 = 803.22/x
  3. Step 3: Cross multiply
    2,447.24x = 3,671.20 × 803.22
  4. Step 4: Simplify right side
    2,447.24x = 2,948,781.26
  5. Step 5: Solve for x
    x = 2,948,781.26/2,447.24
  6. Step 6: Final answer
    x = 1,204.94

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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.