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Finding the Fourth Proportional to 3,400.82, 4,693.40 and 1,908.87

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Solution

The fourth proportional to 3,400.82, 4,693.40 and 1,908.87 is: 2,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.82 : 4,693.40 = 1,908.87 : x
  2. Step 2: Convert to fraction form
    3,400.82/4,693.40 = 1,908.87/x
  3. Step 3: Cross multiply
    3,400.82x = 4,693.40 × 1,908.87
  4. Step 4: Simplify right side
    3,400.82x = 8,959,080.91
  5. Step 5: Solve for x
    x = 8,959,080.91/3,400.82
  6. Step 6: Final answer
    x = 2,634.39

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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.