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Finding the Fourth Proportional to 2,220.97, 3,331.50 and 577.42

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Solution

The fourth proportional to 2,220.97, 3,331.50 and 577.42 is: 866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.97 : 3,331.50 = 577.42 : x
  2. Step 2: Convert to fraction form
    2,220.97/3,331.50 = 577.42/x
  3. Step 3: Cross multiply
    2,220.97x = 3,331.50 × 577.42
  4. Step 4: Simplify right side
    2,220.97x = 1,923,674.73
  5. Step 5: Solve for x
    x = 1,923,674.73/2,220.97
  6. Step 6: Final answer
    x = 866.14

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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.