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Finding the Fourth Proportional to 3,449.70, 4,760.19 and 1,957.32

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Solution

The fourth proportional to 3,449.70, 4,760.19 and 1,957.32 is: 2,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.70 : 4,760.19 = 1,957.32 : x
  2. Step 2: Convert to fraction form
    3,449.70/4,760.19 = 1,957.32/x
  3. Step 3: Cross multiply
    3,449.70x = 4,760.19 × 1,957.32
  4. Step 4: Simplify right side
    3,449.70x = 9,317,215.09
  5. Step 5: Solve for x
    x = 9,317,215.09/3,449.70
  6. Step 6: Final answer
    x = 2,700.88

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Why These Related Problems?

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