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Finding the Fourth Proportional to 3,202.47, 4,805.01 and 1,641.69

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Solution

The fourth proportional to 3,202.47, 4,805.01 and 1,641.69 is: 2,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.47 : 4,805.01 = 1,641.69 : x
  2. Step 2: Convert to fraction form
    3,202.47/4,805.01 = 1,641.69/x
  3. Step 3: Cross multiply
    3,202.47x = 4,805.01 × 1,641.69
  4. Step 4: Simplify right side
    3,202.47x = 7,888,336.87
  5. Step 5: Solve for x
    x = 7,888,336.87/3,202.47
  6. Step 6: Final answer
    x = 2,463.20

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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.