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Finding the Fourth Proportional to 2,297.94, 3,447.03 and 759.06

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Solution

The fourth proportional to 2,297.94, 3,447.03 and 759.06 is: 1,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.94 : 3,447.03 = 759.06 : x
  2. Step 2: Convert to fraction form
    2,297.94/3,447.03 = 759.06/x
  3. Step 3: Cross multiply
    2,297.94x = 3,447.03 × 759.06
  4. Step 4: Simplify right side
    2,297.94x = 2,616,502.59
  5. Step 5: Solve for x
    x = 2,616,502.59/2,297.94
  6. Step 6: Final answer
    x = 1,138.63

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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.