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Finding the Fourth Proportional to 1,581.85, 2,367.91 and 850.42

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Solution

The fourth proportional to 1,581.85, 2,367.91 and 850.42 is: 1,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.85 : 2,367.91 = 850.42 : x
  2. Step 2: Convert to fraction form
    1,581.85/2,367.91 = 850.42/x
  3. Step 3: Cross multiply
    1,581.85x = 2,367.91 × 850.42
  4. Step 4: Simplify right side
    1,581.85x = 2,013,718.02
  5. Step 5: Solve for x
    x = 2,013,718.02/1,581.85
  6. Step 6: Final answer
    x = 1,273.01

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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.