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Finding the Fourth Proportional to 2,787.76, 3,846.60 and 1,608.40

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Solution

The fourth proportional to 2,787.76, 3,846.60 and 1,608.40 is: 2,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.76 : 3,846.60 = 1,608.40 : x
  2. Step 2: Convert to fraction form
    2,787.76/3,846.60 = 1,608.40/x
  3. Step 3: Cross multiply
    2,787.76x = 3,846.60 × 1,608.40
  4. Step 4: Simplify right side
    2,787.76x = 6,186,871.44
  5. Step 5: Solve for x
    x = 6,186,871.44/2,787.76
  6. Step 6: Final answer
    x = 2,219.30

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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.