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Finding the Fourth Proportional to 2,295, 3,443.22 and 996.66

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Solution

The fourth proportional to 2,295, 3,443.22 and 996.66 is: 1,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295 : 3,443.22 = 996.66 : x
  2. Step 2: Convert to fraction form
    2,295/3,443.22 = 996.66/x
  3. Step 3: Cross multiply
    2,295x = 3,443.22 × 996.66
  4. Step 4: Simplify right side
    2,295x = 3,431,719.65
  5. Step 5: Solve for x
    x = 3,431,719.65/2,295
  6. Step 6: Final answer
    x = 1,495.30

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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.