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Finding the Fourth Proportional to 2,203.82, 3,306.05 and 954.75

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Solution

The fourth proportional to 2,203.82, 3,306.05 and 954.75 is: 1,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.82 : 3,306.05 = 954.75 : x
  2. Step 2: Convert to fraction form
    2,203.82/3,306.05 = 954.75/x
  3. Step 3: Cross multiply
    2,203.82x = 3,306.05 × 954.75
  4. Step 4: Simplify right side
    2,203.82x = 3,156,451.24
  5. Step 5: Solve for x
    x = 3,156,451.24/2,203.82
  6. Step 6: Final answer
    x = 1,432.26

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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.