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Finding the Fourth Proportional to 2,532.24, 3,798.97 and 800.87

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Solution

The fourth proportional to 2,532.24, 3,798.97 and 800.87 is: 1,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.24 : 3,798.97 = 800.87 : x
  2. Step 2: Convert to fraction form
    2,532.24/3,798.97 = 800.87/x
  3. Step 3: Cross multiply
    2,532.24x = 3,798.97 × 800.87
  4. Step 4: Simplify right side
    2,532.24x = 3,042,460.11
  5. Step 5: Solve for x
    x = 3,042,460.11/2,532.24
  6. Step 6: Final answer
    x = 1,201.49

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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.