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Finding the Fourth Proportional to 2,787.95, 4,180.94 and 813.03

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Solution

The fourth proportional to 2,787.95, 4,180.94 and 813.03 is: 1,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.95 : 4,180.94 = 813.03 : x
  2. Step 2: Convert to fraction form
    2,787.95/4,180.94 = 813.03/x
  3. Step 3: Cross multiply
    2,787.95x = 4,180.94 × 813.03
  4. Step 4: Simplify right side
    2,787.95x = 3,399,231.68
  5. Step 5: Solve for x
    x = 3,399,231.68/2,787.95
  6. Step 6: Final answer
    x = 1,219.26

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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.