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Finding the Fourth Proportional to 1,855.97, 2,786.73 and 1,167.01

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Solution

The fourth proportional to 1,855.97, 2,786.73 and 1,167.01 is: 1,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.97 : 2,786.73 = 1,167.01 : x
  2. Step 2: Convert to fraction form
    1,855.97/2,786.73 = 1,167.01/x
  3. Step 3: Cross multiply
    1,855.97x = 2,786.73 × 1,167.01
  4. Step 4: Simplify right side
    1,855.97x = 3,252,141.78
  5. Step 5: Solve for x
    x = 3,252,141.78/1,855.97
  6. Step 6: Final answer
    x = 1,752.26

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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.