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Finding the Fourth Proportional to 3,204.62, 4,798.89 and 2,031.06

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Solution

The fourth proportional to 3,204.62, 4,798.89 and 2,031.06 is: 3,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.62 : 4,798.89 = 2,031.06 : x
  2. Step 2: Convert to fraction form
    3,204.62/4,798.89 = 2,031.06/x
  3. Step 3: Cross multiply
    3,204.62x = 4,798.89 × 2,031.06
  4. Step 4: Simplify right side
    3,204.62x = 9,746,833.52
  5. Step 5: Solve for x
    x = 9,746,833.52/3,204.62
  6. Step 6: Final answer
    x = 3,041.50

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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.