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Finding the Fourth Proportional to 1,934.82, 2,902.71 and 636.30

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Solution

The fourth proportional to 1,934.82, 2,902.71 and 636.30 is: 954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.82 : 2,902.71 = 636.30 : x
  2. Step 2: Convert to fraction form
    1,934.82/2,902.71 = 636.30/x
  3. Step 3: Cross multiply
    1,934.82x = 2,902.71 × 636.30
  4. Step 4: Simplify right side
    1,934.82x = 1,846,994.37
  5. Step 5: Solve for x
    x = 1,846,994.37/1,934.82
  6. Step 6: Final answer
    x = 954.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.