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Finding the Fourth Proportional to 2,940.39, 4,057.85 and 1,681.44

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Solution

The fourth proportional to 2,940.39, 4,057.85 and 1,681.44 is: 2,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.39 : 4,057.85 = 1,681.44 : x
  2. Step 2: Convert to fraction form
    2,940.39/4,057.85 = 1,681.44/x
  3. Step 3: Cross multiply
    2,940.39x = 4,057.85 × 1,681.44
  4. Step 4: Simplify right side
    2,940.39x = 6,823,022.90
  5. Step 5: Solve for x
    x = 6,823,022.90/2,940.39
  6. Step 6: Final answer
    x = 2,320.45

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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.