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Finding the Fourth Proportional to 2,136.24, 3,201.84 and 1,164.24

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Solution

The fourth proportional to 2,136.24, 3,201.84 and 1,164.24 is: 1,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.24 : 3,201.84 = 1,164.24 : x
  2. Step 2: Convert to fraction form
    2,136.24/3,201.84 = 1,164.24/x
  3. Step 3: Cross multiply
    2,136.24x = 3,201.84 × 1,164.24
  4. Step 4: Simplify right side
    2,136.24x = 3,727,710.20
  5. Step 5: Solve for x
    x = 3,727,710.20/2,136.24
  6. Step 6: Final answer
    x = 1,744.99

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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.