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Finding the Fourth Proportional to 1,549.20, 2,137.92 and 850.68

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Solution

The fourth proportional to 1,549.20, 2,137.92 and 850.68 is: 1,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.20 : 2,137.92 = 850.68 : x
  2. Step 2: Convert to fraction form
    1,549.20/2,137.92 = 850.68/x
  3. Step 3: Cross multiply
    1,549.20x = 2,137.92 × 850.68
  4. Step 4: Simplify right side
    1,549.20x = 1,818,685.79
  5. Step 5: Solve for x
    x = 1,818,685.79/1,549.20
  6. Step 6: Final answer
    x = 1,173.95

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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.