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Finding the Fourth Proportional to 2,034.91, 3,052.37 and 495.91

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Solution

The fourth proportional to 2,034.91, 3,052.37 and 495.91 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.91 : 3,052.37 = 495.91 : x
  2. Step 2: Convert to fraction form
    2,034.91/3,052.37 = 495.91/x
  3. Step 3: Cross multiply
    2,034.91x = 3,052.37 × 495.91
  4. Step 4: Simplify right side
    2,034.91x = 1,513,700.81
  5. Step 5: Solve for x
    x = 1,513,700.81/2,034.91
  6. Step 6: Final answer
    x = 743.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.