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Finding the Fourth Proportional to 1,549.56, 2,138.41 and 850.94

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Solution

The fourth proportional to 1,549.56, 2,138.41 and 850.94 is: 1,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.56 : 2,138.41 = 850.94 : x
  2. Step 2: Convert to fraction form
    1,549.56/2,138.41 = 850.94/x
  3. Step 3: Cross multiply
    1,549.56x = 2,138.41 × 850.94
  4. Step 4: Simplify right side
    1,549.56x = 1,819,658.61
  5. Step 5: Solve for x
    x = 1,819,658.61/1,549.56
  6. Step 6: Final answer
    x = 1,174.31

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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.