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Finding the Fourth Proportional to 1,549.53, 2,138.36 and 850.95

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Solution

The fourth proportional to 1,549.53, 2,138.36 and 850.95 is: 1,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.53 : 2,138.36 = 850.95 : x
  2. Step 2: Convert to fraction form
    1,549.53/2,138.36 = 850.95/x
  3. Step 3: Cross multiply
    1,549.53x = 2,138.36 × 850.95
  4. Step 4: Simplify right side
    1,549.53x = 1,819,633.19
  5. Step 5: Solve for x
    x = 1,819,633.19/1,549.53
  6. Step 6: Final answer
    x = 1,174.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.