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Finding the Fourth Proportional to 2,202.96, 3,303.48 and 834

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Solution

The fourth proportional to 2,202.96, 3,303.48 and 834 is: 1,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.96 : 3,303.48 = 834 : x
  2. Step 2: Convert to fraction form
    2,202.96/3,303.48 = 834/x
  3. Step 3: Cross multiply
    2,202.96x = 3,303.48 × 834
  4. Step 4: Simplify right side
    2,202.96x = 2,755,102.32
  5. Step 5: Solve for x
    x = 2,755,102.32/2,202.96
  6. Step 6: Final answer
    x = 1,250.64

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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.