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Finding the Fourth Proportional to 3,310.10, 4,965.15 and 844.92

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Solution

The fourth proportional to 3,310.10, 4,965.15 and 844.92 is: 1,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.10 : 4,965.15 = 844.92 : x
  2. Step 2: Convert to fraction form
    3,310.10/4,965.15 = 844.92/x
  3. Step 3: Cross multiply
    3,310.10x = 4,965.15 × 844.92
  4. Step 4: Simplify right side
    3,310.10x = 4,195,154.54
  5. Step 5: Solve for x
    x = 4,195,154.54/3,310.10
  6. Step 6: Final answer
    x = 1,267.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.