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Finding the Fourth Proportional to 3,449.49, 4,760.19 and 1,957.54

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Solution

The fourth proportional to 3,449.49, 4,760.19 and 1,957.54 is: 2,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.49 : 4,760.19 = 1,957.54 : x
  2. Step 2: Convert to fraction form
    3,449.49/4,760.19 = 1,957.54/x
  3. Step 3: Cross multiply
    3,449.49x = 4,760.19 × 1,957.54
  4. Step 4: Simplify right side
    3,449.49x = 9,318,262.33
  5. Step 5: Solve for x
    x = 9,318,262.33/3,449.49
  6. Step 6: Final answer
    x = 2,701.34

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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.