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Finding the Fourth Proportional to 1,786.97, 2,466.89 and 1,189.81

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Solution

The fourth proportional to 1,786.97, 2,466.89 and 1,189.81 is: 1,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.97 : 2,466.89 = 1,189.81 : x
  2. Step 2: Convert to fraction form
    1,786.97/2,466.89 = 1,189.81/x
  3. Step 3: Cross multiply
    1,786.97x = 2,466.89 × 1,189.81
  4. Step 4: Simplify right side
    1,786.97x = 2,935,136.42
  5. Step 5: Solve for x
    x = 2,935,136.42/1,786.97
  6. Step 6: Final answer
    x = 1,642.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.