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Finding the Fourth Proportional to 2,843.82, 4,265.94 and 994.70

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Solution

The fourth proportional to 2,843.82, 4,265.94 and 994.70 is: 1,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.82 : 4,265.94 = 994.70 : x
  2. Step 2: Convert to fraction form
    2,843.82/4,265.94 = 994.70/x
  3. Step 3: Cross multiply
    2,843.82x = 4,265.94 × 994.70
  4. Step 4: Simplify right side
    2,843.82x = 4,243,330.52
  5. Step 5: Solve for x
    x = 4,243,330.52/2,843.82
  6. Step 6: Final answer
    x = 1,492.12

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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.