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Finding the Fourth Proportional to 2,183.51, 3,275.22 and 884.95

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Solution

The fourth proportional to 2,183.51, 3,275.22 and 884.95 is: 1,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.51 : 3,275.22 = 884.95 : x
  2. Step 2: Convert to fraction form
    2,183.51/3,275.22 = 884.95/x
  3. Step 3: Cross multiply
    2,183.51x = 3,275.22 × 884.95
  4. Step 4: Simplify right side
    2,183.51x = 2,898,405.94
  5. Step 5: Solve for x
    x = 2,898,405.94/2,183.51
  6. Step 6: Final answer
    x = 1,327.41

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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.