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Finding the Fourth Proportional to 1,995.65, 2,993.24 and 763.03

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Solution

The fourth proportional to 1,995.65, 2,993.24 and 763.03 is: 1,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.65 : 2,993.24 = 763.03 : x
  2. Step 2: Convert to fraction form
    1,995.65/2,993.24 = 763.03/x
  3. Step 3: Cross multiply
    1,995.65x = 2,993.24 × 763.03
  4. Step 4: Simplify right side
    1,995.65x = 2,283,922.53
  5. Step 5: Solve for x
    x = 2,283,922.53/1,995.65
  6. Step 6: Final answer
    x = 1,144.45

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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.