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Finding the Fourth Proportional to 1,847.75, 2,550.24 and 1,184.58

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Solution

The fourth proportional to 1,847.75, 2,550.24 and 1,184.58 is: 1,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.75 : 2,550.24 = 1,184.58 : x
  2. Step 2: Convert to fraction form
    1,847.75/2,550.24 = 1,184.58/x
  3. Step 3: Cross multiply
    1,847.75x = 2,550.24 × 1,184.58
  4. Step 4: Simplify right side
    1,847.75x = 3,020,963.30
  5. Step 5: Solve for x
    x = 3,020,963.30/1,847.75
  6. Step 6: Final answer
    x = 1,634.95

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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.