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Finding the Fourth Proportional to 2,203.86, 3,305.97 and 905.34

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Solution

The fourth proportional to 2,203.86, 3,305.97 and 905.34 is: 1,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.86 : 3,305.97 = 905.34 : x
  2. Step 2: Convert to fraction form
    2,203.86/3,305.97 = 905.34/x
  3. Step 3: Cross multiply
    2,203.86x = 3,305.97 × 905.34
  4. Step 4: Simplify right side
    2,203.86x = 2,993,026.88
  5. Step 5: Solve for x
    x = 2,993,026.88/2,203.86
  6. Step 6: Final answer
    x = 1,358.08

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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.