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Finding the Fourth Proportional to 1,847, 2,766.95 and 1,454.93

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Solution

The fourth proportional to 1,847, 2,766.95 and 1,454.93 is: 2,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847 : 2,766.95 = 1,454.93 : x
  2. Step 2: Convert to fraction form
    1,847/2,766.95 = 1,454.93/x
  3. Step 3: Cross multiply
    1,847x = 2,766.95 × 1,454.93
  4. Step 4: Simplify right side
    1,847x = 4,025,718.56
  5. Step 5: Solve for x
    x = 4,025,718.56/1,847
  6. Step 6: Final answer
    x = 2,179.60

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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.