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Finding the Fourth Proportional to 2,787.56, 4,181.38 and 839.64

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Solution

The fourth proportional to 2,787.56, 4,181.38 and 839.64 is: 1,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.56 : 4,181.38 = 839.64 : x
  2. Step 2: Convert to fraction form
    2,787.56/4,181.38 = 839.64/x
  3. Step 3: Cross multiply
    2,787.56x = 4,181.38 × 839.64
  4. Step 4: Simplify right side
    2,787.56x = 3,510,853.90
  5. Step 5: Solve for x
    x = 3,510,853.90/2,787.56
  6. Step 6: Final answer
    x = 1,259.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.