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Finding the Fourth Proportional to 2,285.82, 3,429.14 and 1,191.11

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Solution

The fourth proportional to 2,285.82, 3,429.14 and 1,191.11 is: 1,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.82 : 3,429.14 = 1,191.11 : x
  2. Step 2: Convert to fraction form
    2,285.82/3,429.14 = 1,191.11/x
  3. Step 3: Cross multiply
    2,285.82x = 3,429.14 × 1,191.11
  4. Step 4: Simplify right side
    2,285.82x = 4,084,459.84
  5. Step 5: Solve for x
    x = 4,084,459.84/2,285.82
  6. Step 6: Final answer
    x = 1,786.87

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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.