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Finding the Fourth Proportional to 2,203.33, 3,305.19 and 798.10

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Solution

The fourth proportional to 2,203.33, 3,305.19 and 798.10 is: 1,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.33 : 3,305.19 = 798.10 : x
  2. Step 2: Convert to fraction form
    2,203.33/3,305.19 = 798.10/x
  3. Step 3: Cross multiply
    2,203.33x = 3,305.19 × 798.10
  4. Step 4: Simplify right side
    2,203.33x = 2,637,872.14
  5. Step 5: Solve for x
    x = 2,637,872.14/2,203.33
  6. Step 6: Final answer
    x = 1,197.22

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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.