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Finding the Fourth Proportional to 2,758.20, 4,136.90 and 810.20

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Solution

The fourth proportional to 2,758.20, 4,136.90 and 810.20 is: 1,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.20 : 4,136.90 = 810.20 : x
  2. Step 2: Convert to fraction form
    2,758.20/4,136.90 = 810.20/x
  3. Step 3: Cross multiply
    2,758.20x = 4,136.90 × 810.20
  4. Step 4: Simplify right side
    2,758.20x = 3,351,716.38
  5. Step 5: Solve for x
    x = 3,351,716.38/2,758.20
  6. Step 6: Final answer
    x = 1,215.18

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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.