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Finding the Fourth Proportional to 2,463.36, 3,694.02 and 1,001.52

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Solution

The fourth proportional to 2,463.36, 3,694.02 and 1,001.52 is: 1,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.36 : 3,694.02 = 1,001.52 : x
  2. Step 2: Convert to fraction form
    2,463.36/3,694.02 = 1,001.52/x
  3. Step 3: Cross multiply
    2,463.36x = 3,694.02 × 1,001.52
  4. Step 4: Simplify right side
    2,463.36x = 3,699,634.91
  5. Step 5: Solve for x
    x = 3,699,634.91/2,463.36
  6. Step 6: Final answer
    x = 1,501.87

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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.