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Finding the Fourth Proportional to 3,223.40, 4,833.66 and 1,988.92

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Solution

The fourth proportional to 3,223.40, 4,833.66 and 1,988.92 is: 2,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.40 : 4,833.66 = 1,988.92 : x
  2. Step 2: Convert to fraction form
    3,223.40/4,833.66 = 1,988.92/x
  3. Step 3: Cross multiply
    3,223.40x = 4,833.66 × 1,988.92
  4. Step 4: Simplify right side
    3,223.40x = 9,613,763.05
  5. Step 5: Solve for x
    x = 9,613,763.05/3,223.40
  6. Step 6: Final answer
    x = 2,982.49

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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.