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Finding the Fourth Proportional to 2,983.02, 4,472.97 and 1,007.97

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Solution

The fourth proportional to 2,983.02, 4,472.97 and 1,007.97 is: 1,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.02 : 4,472.97 = 1,007.97 : x
  2. Step 2: Convert to fraction form
    2,983.02/4,472.97 = 1,007.97/x
  3. Step 3: Cross multiply
    2,983.02x = 4,472.97 × 1,007.97
  4. Step 4: Simplify right side
    2,983.02x = 4,508,619.57
  5. Step 5: Solve for x
    x = 4,508,619.57/2,983.02
  6. Step 6: Final answer
    x = 1,511.43

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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.