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Finding the Fourth Proportional to 2,936.72, 4,052.54 and 1,758.44

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Solution

The fourth proportional to 2,936.72, 4,052.54 and 1,758.44 is: 2,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.72 : 4,052.54 = 1,758.44 : x
  2. Step 2: Convert to fraction form
    2,936.72/4,052.54 = 1,758.44/x
  3. Step 3: Cross multiply
    2,936.72x = 4,052.54 × 1,758.44
  4. Step 4: Simplify right side
    2,936.72x = 7,126,119.38
  5. Step 5: Solve for x
    x = 7,126,119.38/2,936.72
  6. Step 6: Final answer
    x = 2,426.56

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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.