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Finding the Fourth Proportional to 2,663.01, 3,993.84 and 1,019.66

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Solution

The fourth proportional to 2,663.01, 3,993.84 and 1,019.66 is: 1,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.01 : 3,993.84 = 1,019.66 : x
  2. Step 2: Convert to fraction form
    2,663.01/3,993.84 = 1,019.66/x
  3. Step 3: Cross multiply
    2,663.01x = 3,993.84 × 1,019.66
  4. Step 4: Simplify right side
    2,663.01x = 4,072,338.93
  5. Step 5: Solve for x
    x = 4,072,338.93/2,663.01
  6. Step 6: Final answer
    x = 1,529.22

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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.