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Finding the Fourth Proportional to 2,758.14, 4,136.67 and 809.82

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Solution

The fourth proportional to 2,758.14, 4,136.67 and 809.82 is: 1,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.14 : 4,136.67 = 809.82 : x
  2. Step 2: Convert to fraction form
    2,758.14/4,136.67 = 809.82/x
  3. Step 3: Cross multiply
    2,758.14x = 4,136.67 × 809.82
  4. Step 4: Simplify right side
    2,758.14x = 3,349,958.10
  5. Step 5: Solve for x
    x = 3,349,958.10/2,758.14
  6. Step 6: Final answer
    x = 1,214.57

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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.