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Finding the Fourth Proportional to 1,895.35, 2,843.16 and 662.62

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Solution

The fourth proportional to 1,895.35, 2,843.16 and 662.62 is: 993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.35 : 2,843.16 = 662.62 : x
  2. Step 2: Convert to fraction form
    1,895.35/2,843.16 = 662.62/x
  3. Step 3: Cross multiply
    1,895.35x = 2,843.16 × 662.62
  4. Step 4: Simplify right side
    1,895.35x = 1,883,934.68
  5. Step 5: Solve for x
    x = 1,883,934.68/1,895.35
  6. Step 6: Final answer
    x = 993.98

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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.