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Finding the Fourth Proportional to 3,223.01, 4,833.46 and 1,031.22

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Solution

The fourth proportional to 3,223.01, 4,833.46 and 1,031.22 is: 1,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.01 : 4,833.46 = 1,031.22 : x
  2. Step 2: Convert to fraction form
    3,223.01/4,833.46 = 1,031.22/x
  3. Step 3: Cross multiply
    3,223.01x = 4,833.46 × 1,031.22
  4. Step 4: Simplify right side
    3,223.01x = 4,984,358.04
  5. Step 5: Solve for x
    x = 4,984,358.04/3,223.01
  6. Step 6: Final answer
    x = 1,546.49

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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.