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Finding the Fourth Proportional to 2,191.84, 3,284.83 and 803.88

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Solution

The fourth proportional to 2,191.84, 3,284.83 and 803.88 is: 1,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.84 : 3,284.83 = 803.88 : x
  2. Step 2: Convert to fraction form
    2,191.84/3,284.83 = 803.88/x
  3. Step 3: Cross multiply
    2,191.84x = 3,284.83 × 803.88
  4. Step 4: Simplify right side
    2,191.84x = 2,640,609.14
  5. Step 5: Solve for x
    x = 2,640,609.14/2,191.84
  6. Step 6: Final answer
    x = 1,204.75

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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.