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Finding the Fourth Proportional to 3,109.16, 4,663.82 and 800.68

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Solution

The fourth proportional to 3,109.16, 4,663.82 and 800.68 is: 1,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.16 : 4,663.82 = 800.68 : x
  2. Step 2: Convert to fraction form
    3,109.16/4,663.82 = 800.68/x
  3. Step 3: Cross multiply
    3,109.16x = 4,663.82 × 800.68
  4. Step 4: Simplify right side
    3,109.16x = 3,734,227.40
  5. Step 5: Solve for x
    x = 3,734,227.40/3,109.16
  6. Step 6: Final answer
    x = 1,201.04

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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.