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Finding the Fourth Proportional to 2,382.90, 3,571.20 and 994.56

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Solution

The fourth proportional to 2,382.90, 3,571.20 and 994.56 is: 1,490.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.90 : 3,571.20 = 994.56 : x
  2. Step 2: Convert to fraction form
    2,382.90/3,571.20 = 994.56/x
  3. Step 3: Cross multiply
    2,382.90x = 3,571.20 × 994.56
  4. Step 4: Simplify right side
    2,382.90x = 3,551,772.67
  5. Step 5: Solve for x
    x = 3,551,772.67/2,382.90
  6. Step 6: Final answer
    x = 1,490.53

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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.