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Finding the Fourth Proportional to 3,165.76, 4,736.76 and 2,193.76

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Solution

The fourth proportional to 3,165.76, 4,736.76 and 2,193.76 is: 3,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.76 : 4,736.76 = 2,193.76 : x
  2. Step 2: Convert to fraction form
    3,165.76/4,736.76 = 2,193.76/x
  3. Step 3: Cross multiply
    3,165.76x = 4,736.76 × 2,193.76
  4. Step 4: Simplify right side
    3,165.76x = 10,391,314.62
  5. Step 5: Solve for x
    x = 10,391,314.62/3,165.76
  6. Step 6: Final answer
    x = 3,282.41

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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.