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Finding the Fourth Proportional to 2,281.57, 3,416.18 and 1,183.71

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Solution

The fourth proportional to 2,281.57, 3,416.18 and 1,183.71 is: 1,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.57 : 3,416.18 = 1,183.71 : x
  2. Step 2: Convert to fraction form
    2,281.57/3,416.18 = 1,183.71/x
  3. Step 3: Cross multiply
    2,281.57x = 3,416.18 × 1,183.71
  4. Step 4: Simplify right side
    2,281.57x = 4,043,773.32
  5. Step 5: Solve for x
    x = 4,043,773.32/2,281.57
  6. Step 6: Final answer
    x = 1,772.37

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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.