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Finding the Fourth Proportional to 2,957.75, 4,079.24 and 2,213.49

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Solution

The fourth proportional to 2,957.75, 4,079.24 and 2,213.49 is: 3,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.75 : 4,079.24 = 2,213.49 : x
  2. Step 2: Convert to fraction form
    2,957.75/4,079.24 = 2,213.49/x
  3. Step 3: Cross multiply
    2,957.75x = 4,079.24 × 2,213.49
  4. Step 4: Simplify right side
    2,957.75x = 9,029,345.88
  5. Step 5: Solve for x
    x = 9,029,345.88/2,957.75
  6. Step 6: Final answer
    x = 3,052.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.