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Finding the Fourth Proportional to 2,297.73, 3,447.01 and 738.12

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Solution

The fourth proportional to 2,297.73, 3,447.01 and 738.12 is: 1,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.73 : 3,447.01 = 738.12 : x
  2. Step 2: Convert to fraction form
    2,297.73/3,447.01 = 738.12/x
  3. Step 3: Cross multiply
    2,297.73x = 3,447.01 × 738.12
  4. Step 4: Simplify right side
    2,297.73x = 2,544,320.87
  5. Step 5: Solve for x
    x = 2,544,320.87/2,297.73
  6. Step 6: Final answer
    x = 1,107.32

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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.