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Finding the Fourth Proportional to 2,114.94, 2,918.62 and 1,183.44

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Solution

The fourth proportional to 2,114.94, 2,918.62 and 1,183.44 is: 1,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.94 : 2,918.62 = 1,183.44 : x
  2. Step 2: Convert to fraction form
    2,114.94/2,918.62 = 1,183.44/x
  3. Step 3: Cross multiply
    2,114.94x = 2,918.62 × 1,183.44
  4. Step 4: Simplify right side
    2,114.94x = 3,454,005.74
  5. Step 5: Solve for x
    x = 3,454,005.74/2,114.94
  6. Step 6: Final answer
    x = 1,633.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.