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Finding the Fourth Proportional to 2,532.29, 3,798.41 and 800.92

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Solution

The fourth proportional to 2,532.29, 3,798.41 and 800.92 is: 1,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.29 : 3,798.41 = 800.92 : x
  2. Step 2: Convert to fraction form
    2,532.29/3,798.41 = 800.92/x
  3. Step 3: Cross multiply
    2,532.29x = 3,798.41 × 800.92
  4. Step 4: Simplify right side
    2,532.29x = 3,042,215.04
  5. Step 5: Solve for x
    x = 3,042,215.04/2,532.29
  6. Step 6: Final answer
    x = 1,201.37

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1.5x scale

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.