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Finding the Fourth Proportional to 2,202.21, 3,304.53 and 903.38

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Solution

The fourth proportional to 2,202.21, 3,304.53 and 903.38 is: 1,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.21 : 3,304.53 = 903.38 : x
  2. Step 2: Convert to fraction form
    2,202.21/3,304.53 = 903.38/x
  3. Step 3: Cross multiply
    2,202.21x = 3,304.53 × 903.38
  4. Step 4: Simplify right side
    2,202.21x = 2,985,229.79
  5. Step 5: Solve for x
    x = 2,985,229.79/2,202.21
  6. Step 6: Final answer
    x = 1,355.56

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1.5x scale

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.