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Finding the Fourth Proportional to 2,874.16, 4,309.74 and 1,229.80

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Solution

The fourth proportional to 2,874.16, 4,309.74 and 1,229.80 is: 1,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.16 : 4,309.74 = 1,229.80 : x
  2. Step 2: Convert to fraction form
    2,874.16/4,309.74 = 1,229.80/x
  3. Step 3: Cross multiply
    2,874.16x = 4,309.74 × 1,229.80
  4. Step 4: Simplify right side
    2,874.16x = 5,300,118.25
  5. Step 5: Solve for x
    x = 5,300,118.25/2,874.16
  6. Step 6: Final answer
    x = 1,844.06

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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.