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Finding the Fourth Proportional to 2,447.15, 3,671.99 and 1,214.54

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Solution

The fourth proportional to 2,447.15, 3,671.99 and 1,214.54 is: 1,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.15 : 3,671.99 = 1,214.54 : x
  2. Step 2: Convert to fraction form
    2,447.15/3,671.99 = 1,214.54/x
  3. Step 3: Cross multiply
    2,447.15x = 3,671.99 × 1,214.54
  4. Step 4: Simplify right side
    2,447.15x = 4,459,754.30
  5. Step 5: Solve for x
    x = 4,459,754.30/2,447.15
  6. Step 6: Final answer
    x = 1,822.43

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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.