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Finding the Fourth Proportional to 2,787.50, 3,846.48 and 1,608.95

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Solution

The fourth proportional to 2,787.50, 3,846.48 and 1,608.95 is: 2,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.50 : 3,846.48 = 1,608.95 : x
  2. Step 2: Convert to fraction form
    2,787.50/3,846.48 = 1,608.95/x
  3. Step 3: Cross multiply
    2,787.50x = 3,846.48 × 1,608.95
  4. Step 4: Simplify right side
    2,787.50x = 6,188,797.58
  5. Step 5: Solve for x
    x = 6,188,797.58/2,787.50
  6. Step 6: Final answer
    x = 2,220.19

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1.5x scale

Why These Related Problems?

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