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Finding the Fourth Proportional to 2,896.42, 4,344.81 and 1,165

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Solution

The fourth proportional to 2,896.42, 4,344.81 and 1,165 is: 1,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.42 : 4,344.81 = 1,165 : x
  2. Step 2: Convert to fraction form
    2,896.42/4,344.81 = 1,165/x
  3. Step 3: Cross multiply
    2,896.42x = 4,344.81 × 1,165
  4. Step 4: Simplify right side
    2,896.42x = 5,061,703.65
  5. Step 5: Solve for x
    x = 5,061,703.65/2,896.42
  6. Step 6: Final answer
    x = 1,747.57

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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.