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Finding the Fourth Proportional to 1,934.46, 2,902.85 and 838.82

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Solution

The fourth proportional to 1,934.46, 2,902.85 and 838.82 is: 1,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.46 : 2,902.85 = 838.82 : x
  2. Step 2: Convert to fraction form
    1,934.46/2,902.85 = 838.82/x
  3. Step 3: Cross multiply
    1,934.46x = 2,902.85 × 838.82
  4. Step 4: Simplify right side
    1,934.46x = 2,434,968.64
  5. Step 5: Solve for x
    x = 2,434,968.64/1,934.46
  6. Step 6: Final answer
    x = 1,258.73

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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.