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Finding the Fourth Proportional to 2,191.03, 3,285.68 and 803.95

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Solution

The fourth proportional to 2,191.03, 3,285.68 and 803.95 is: 1,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.03 : 3,285.68 = 803.95 : x
  2. Step 2: Convert to fraction form
    2,191.03/3,285.68 = 803.95/x
  3. Step 3: Cross multiply
    2,191.03x = 3,285.68 × 803.95
  4. Step 4: Simplify right side
    2,191.03x = 2,641,522.44
  5. Step 5: Solve for x
    x = 2,641,522.44/2,191.03
  6. Step 6: Final answer
    x = 1,205.61

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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.