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Finding the Fourth Proportional to 2,940, 4,057.06 and 1,760.84

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Solution

The fourth proportional to 2,940, 4,057.06 and 1,760.84 is: 2,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940 : 4,057.06 = 1,760.84 : x
  2. Step 2: Convert to fraction form
    2,940/4,057.06 = 1,760.84/x
  3. Step 3: Cross multiply
    2,940x = 4,057.06 × 1,760.84
  4. Step 4: Simplify right side
    2,940x = 7,143,833.53
  5. Step 5: Solve for x
    x = 7,143,833.53/2,940
  6. Step 6: Final answer
    x = 2,429.88

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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.