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Finding the Fourth Proportional to 2,774.74, 4,161.24 and 800.23

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Solution

The fourth proportional to 2,774.74, 4,161.24 and 800.23 is: 1,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.74 : 4,161.24 = 800.23 : x
  2. Step 2: Convert to fraction form
    2,774.74/4,161.24 = 800.23/x
  3. Step 3: Cross multiply
    2,774.74x = 4,161.24 × 800.23
  4. Step 4: Simplify right side
    2,774.74x = 3,329,949.09
  5. Step 5: Solve for x
    x = 3,329,949.09/2,774.74
  6. Step 6: Final answer
    x = 1,200.09

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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.