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Finding the Fourth Proportional to 3,233.93, 4,859.10 and 2,064.49

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Solution

The fourth proportional to 3,233.93, 4,859.10 and 2,064.49 is: 3,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.93 : 4,859.10 = 2,064.49 : x
  2. Step 2: Convert to fraction form
    3,233.93/4,859.10 = 2,064.49/x
  3. Step 3: Cross multiply
    3,233.93x = 4,859.10 × 2,064.49
  4. Step 4: Simplify right side
    3,233.93x = 10,031,563.36
  5. Step 5: Solve for x
    x = 10,031,563.36/3,233.93
  6. Step 6: Final answer
    x = 3,101.97

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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.