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Finding the Fourth Proportional to 2,995.50, 4,493.25 and 1,264.17

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Solution

The fourth proportional to 2,995.50, 4,493.25 and 1,264.17 is: 1,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.50 : 4,493.25 = 1,264.17 : x
  2. Step 2: Convert to fraction form
    2,995.50/4,493.25 = 1,264.17/x
  3. Step 3: Cross multiply
    2,995.50x = 4,493.25 × 1,264.17
  4. Step 4: Simplify right side
    2,995.50x = 5,680,231.85
  5. Step 5: Solve for x
    x = 5,680,231.85/2,995.50
  6. Step 6: Final answer
    x = 1,896.26

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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.