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Finding the Fourth Proportional to 1,538.91, 2,136.22 and 1,441.71

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Solution

The fourth proportional to 1,538.91, 2,136.22 and 1,441.71 is: 2,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.91 : 2,136.22 = 1,441.71 : x
  2. Step 2: Convert to fraction form
    1,538.91/2,136.22 = 1,441.71/x
  3. Step 3: Cross multiply
    1,538.91x = 2,136.22 × 1,441.71
  4. Step 4: Simplify right side
    1,538.91x = 3,079,806.13
  5. Step 5: Solve for x
    x = 3,079,806.13/1,538.91
  6. Step 6: Final answer
    x = 2,001.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.