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Finding the Fourth Proportional to 1,823.11, 2,734.66 and 850.30

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Solution

The fourth proportional to 1,823.11, 2,734.66 and 850.30 is: 1,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.11 : 2,734.66 = 850.30 : x
  2. Step 2: Convert to fraction form
    1,823.11/2,734.66 = 850.30/x
  3. Step 3: Cross multiply
    1,823.11x = 2,734.66 × 850.30
  4. Step 4: Simplify right side
    1,823.11x = 2,325,275.62
  5. Step 5: Solve for x
    x = 2,325,275.62/1,823.11
  6. Step 6: Final answer
    x = 1,275.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.