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Finding the Fourth Proportional to 1,549.31, 2,138.05 and 850.73

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Solution

The fourth proportional to 1,549.31, 2,138.05 and 850.73 is: 1,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.31 : 2,138.05 = 850.73 : x
  2. Step 2: Convert to fraction form
    1,549.31/2,138.05 = 850.73/x
  3. Step 3: Cross multiply
    1,549.31x = 2,138.05 × 850.73
  4. Step 4: Simplify right side
    1,549.31x = 1,818,909.69
  5. Step 5: Solve for x
    x = 1,818,909.69/1,549.31
  6. Step 6: Final answer
    x = 1,174.01

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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.