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Finding the Fourth Proportional to 1,549.45, 2,138.17 and 850.83

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Solution

The fourth proportional to 1,549.45, 2,138.17 and 850.83 is: 1,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.45 : 2,138.17 = 850.83 : x
  2. Step 2: Convert to fraction form
    1,549.45/2,138.17 = 850.83/x
  3. Step 3: Cross multiply
    1,549.45x = 2,138.17 × 850.83
  4. Step 4: Simplify right side
    1,549.45x = 1,819,219.18
  5. Step 5: Solve for x
    x = 1,819,219.18/1,549.45
  6. Step 6: Final answer
    x = 1,174.11

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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.