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Finding the Fourth Proportional to 2,582.24, 3,874.44 and 851.04

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Solution

The fourth proportional to 2,582.24, 3,874.44 and 851.04 is: 1,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.24 : 3,874.44 = 851.04 : x
  2. Step 2: Convert to fraction form
    2,582.24/3,874.44 = 851.04/x
  3. Step 3: Cross multiply
    2,582.24x = 3,874.44 × 851.04
  4. Step 4: Simplify right side
    2,582.24x = 3,297,303.42
  5. Step 5: Solve for x
    x = 3,297,303.42/2,582.24
  6. Step 6: Final answer
    x = 1,276.92

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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.