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Finding the Fourth Proportional to 1,831, 2,746.50 and 532.48

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Solution

The fourth proportional to 1,831, 2,746.50 and 532.48 is: 798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831 : 2,746.50 = 532.48 : x
  2. Step 2: Convert to fraction form
    1,831/2,746.50 = 532.48/x
  3. Step 3: Cross multiply
    1,831x = 2,746.50 × 532.48
  4. Step 4: Simplify right side
    1,831x = 1,462,456.32
  5. Step 5: Solve for x
    x = 1,462,456.32/1,831
  6. Step 6: Final answer
    x = 798.72

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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.