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Finding the Fourth Proportional to 3,449.64, 4,760.24 and 1,957.29

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Solution

The fourth proportional to 3,449.64, 4,760.24 and 1,957.29 is: 2,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.64 : 4,760.24 = 1,957.29 : x
  2. Step 2: Convert to fraction form
    3,449.64/4,760.24 = 1,957.29/x
  3. Step 3: Cross multiply
    3,449.64x = 4,760.24 × 1,957.29
  4. Step 4: Simplify right side
    3,449.64x = 9,317,160.36
  5. Step 5: Solve for x
    x = 9,317,160.36/3,449.64
  6. Step 6: Final answer
    x = 2,700.91

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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.