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Finding the Fourth Proportional to 2,297.92, 3,446.94 and 1,200.84

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Solution

The fourth proportional to 2,297.92, 3,446.94 and 1,200.84 is: 1,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.92 : 3,446.94 = 1,200.84 : x
  2. Step 2: Convert to fraction form
    2,297.92/3,446.94 = 1,200.84/x
  3. Step 3: Cross multiply
    2,297.92x = 3,446.94 × 1,200.84
  4. Step 4: Simplify right side
    2,297.92x = 4,139,223.43
  5. Step 5: Solve for x
    x = 4,139,223.43/2,297.92
  6. Step 6: Final answer
    x = 1,801.29

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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.