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Finding the Fourth Proportional to 2,183.04, 3,276.59 and 884.61

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Solution

The fourth proportional to 2,183.04, 3,276.59 and 884.61 is: 1,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.04 : 3,276.59 = 884.61 : x
  2. Step 2: Convert to fraction form
    2,183.04/3,276.59 = 884.61/x
  3. Step 3: Cross multiply
    2,183.04x = 3,276.59 × 884.61
  4. Step 4: Simplify right side
    2,183.04x = 2,898,499.86
  5. Step 5: Solve for x
    x = 2,898,499.86/2,183.04
  6. Step 6: Final answer
    x = 1,327.74

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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.