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Finding the Fourth Proportional to 2,197.73, 3,297.81 and 900.11

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Solution

The fourth proportional to 2,197.73, 3,297.81 and 900.11 is: 1,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.73 : 3,297.81 = 900.11 : x
  2. Step 2: Convert to fraction form
    2,197.73/3,297.81 = 900.11/x
  3. Step 3: Cross multiply
    2,197.73x = 3,297.81 × 900.11
  4. Step 4: Simplify right side
    2,197.73x = 2,968,391.76
  5. Step 5: Solve for x
    x = 2,968,391.76/2,197.73
  6. Step 6: Final answer
    x = 1,350.66

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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.