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Finding the Fourth Proportional to 2,873.67, 4,310.66 and 1,229.10

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Solution

The fourth proportional to 2,873.67, 4,310.66 and 1,229.10 is: 1,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.67 : 4,310.66 = 1,229.10 : x
  2. Step 2: Convert to fraction form
    2,873.67/4,310.66 = 1,229.10/x
  3. Step 3: Cross multiply
    2,873.67x = 4,310.66 × 1,229.10
  4. Step 4: Simplify right side
    2,873.67x = 5,298,232.21
  5. Step 5: Solve for x
    x = 5,298,232.21/2,873.67
  6. Step 6: Final answer
    x = 1,843.72

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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.