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Finding the Fourth Proportional to 2,763.52, 4,143.97 and 1,007.28

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Solution

The fourth proportional to 2,763.52, 4,143.97 and 1,007.28 is: 1,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.52 : 4,143.97 = 1,007.28 : x
  2. Step 2: Convert to fraction form
    2,763.52/4,143.97 = 1,007.28/x
  3. Step 3: Cross multiply
    2,763.52x = 4,143.97 × 1,007.28
  4. Step 4: Simplify right side
    2,763.52x = 4,174,138.10
  5. Step 5: Solve for x
    x = 4,174,138.10/2,763.52
  6. Step 6: Final answer
    x = 1,510.44

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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.