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Finding the Fourth Proportional to 1,908.65, 2,857.57 and 1,213.59

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Solution

The fourth proportional to 1,908.65, 2,857.57 and 1,213.59 is: 1,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.65 : 2,857.57 = 1,213.59 : x
  2. Step 2: Convert to fraction form
    1,908.65/2,857.57 = 1,213.59/x
  3. Step 3: Cross multiply
    1,908.65x = 2,857.57 × 1,213.59
  4. Step 4: Simplify right side
    1,908.65x = 3,467,918.38
  5. Step 5: Solve for x
    x = 3,467,918.38/1,908.65
  6. Step 6: Final answer
    x = 1,816.95

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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.