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Finding the Fourth Proportional to 2,582.65, 3,873.61 and 850.69

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Solution

The fourth proportional to 2,582.65, 3,873.61 and 850.69 is: 1,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.65 : 3,873.61 = 850.69 : x
  2. Step 2: Convert to fraction form
    2,582.65/3,873.61 = 850.69/x
  3. Step 3: Cross multiply
    2,582.65x = 3,873.61 × 850.69
  4. Step 4: Simplify right side
    2,582.65x = 3,295,229.48
  5. Step 5: Solve for x
    x = 3,295,229.48/2,582.65
  6. Step 6: Final answer
    x = 1,275.91

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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.