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Finding the Fourth Proportional to 2,787.45, 4,181.13 and 839.67

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Solution

The fourth proportional to 2,787.45, 4,181.13 and 839.67 is: 1,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.45 : 4,181.13 = 839.67 : x
  2. Step 2: Convert to fraction form
    2,787.45/4,181.13 = 839.67/x
  3. Step 3: Cross multiply
    2,787.45x = 4,181.13 × 839.67
  4. Step 4: Simplify right side
    2,787.45x = 3,510,769.43
  5. Step 5: Solve for x
    x = 3,510,769.43/2,787.45
  6. Step 6: Final answer
    x = 1,259.49

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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.