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Finding the Fourth Proportional to 1,600.84, 2,209.26 and 938.44

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Solution

The fourth proportional to 1,600.84, 2,209.26 and 938.44 is: 1,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.84 : 2,209.26 = 938.44 : x
  2. Step 2: Convert to fraction form
    1,600.84/2,209.26 = 938.44/x
  3. Step 3: Cross multiply
    1,600.84x = 2,209.26 × 938.44
  4. Step 4: Simplify right side
    1,600.84x = 2,073,257.95
  5. Step 5: Solve for x
    x = 2,073,257.95/1,600.84
  6. Step 6: Final answer
    x = 1,295.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.