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Finding the Fourth Proportional to 1,438.56, 2,151.90 and 1,089.27

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Solution

The fourth proportional to 1,438.56, 2,151.90 and 1,089.27 is: 1,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.56 : 2,151.90 = 1,089.27 : x
  2. Step 2: Convert to fraction form
    1,438.56/2,151.90 = 1,089.27/x
  3. Step 3: Cross multiply
    1,438.56x = 2,151.90 × 1,089.27
  4. Step 4: Simplify right side
    1,438.56x = 2,344,000.11
  5. Step 5: Solve for x
    x = 2,344,000.11/1,438.56
  6. Step 6: Final answer
    x = 1,629.41

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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.