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Finding the Fourth Proportional to 2,834.01, 4,246.68 and 1,189.65

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Solution

The fourth proportional to 2,834.01, 4,246.68 and 1,189.65 is: 1,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.01 : 4,246.68 = 1,189.65 : x
  2. Step 2: Convert to fraction form
    2,834.01/4,246.68 = 1,189.65/x
  3. Step 3: Cross multiply
    2,834.01x = 4,246.68 × 1,189.65
  4. Step 4: Simplify right side
    2,834.01x = 5,052,083.25
  5. Step 5: Solve for x
    x = 5,052,083.25/2,834.01
  6. Step 6: Final answer
    x = 1,782.66

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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.