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Finding the Fourth Proportional to 2,190.87, 3,286.27 and 547.41

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Solution

The fourth proportional to 2,190.87, 3,286.27 and 547.41 is: 821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.87 : 3,286.27 = 547.41 : x
  2. Step 2: Convert to fraction form
    2,190.87/3,286.27 = 547.41/x
  3. Step 3: Cross multiply
    2,190.87x = 3,286.27 × 547.41
  4. Step 4: Simplify right side
    2,190.87x = 1,798,950.07
  5. Step 5: Solve for x
    x = 1,798,950.07/2,190.87
  6. Step 6: Final answer
    x = 821.11

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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.