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Finding the Fourth Proportional to 1,857.90, 2,786.13 and 762.06

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Solution

The fourth proportional to 1,857.90, 2,786.13 and 762.06 is: 1,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.90 : 2,786.13 = 762.06 : x
  2. Step 2: Convert to fraction form
    1,857.90/2,786.13 = 762.06/x
  3. Step 3: Cross multiply
    1,857.90x = 2,786.13 × 762.06
  4. Step 4: Simplify right side
    1,857.90x = 2,123,198.23
  5. Step 5: Solve for x
    x = 2,123,198.23/1,857.90
  6. Step 6: Final answer
    x = 1,142.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.