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Finding the Fourth Proportional to 2,147.68, 3,223.32 and 850.04

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Solution

The fourth proportional to 2,147.68, 3,223.32 and 850.04 is: 1,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.68 : 3,223.32 = 850.04 : x
  2. Step 2: Convert to fraction form
    2,147.68/3,223.32 = 850.04/x
  3. Step 3: Cross multiply
    2,147.68x = 3,223.32 × 850.04
  4. Step 4: Simplify right side
    2,147.68x = 2,739,950.93
  5. Step 5: Solve for x
    x = 2,739,950.93/2,147.68
  6. Step 6: Final answer
    x = 1,275.77

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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.