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Finding the Fourth Proportional to 1,226.26, 1,840.61 and 997.84

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Solution

The fourth proportional to 1,226.26, 1,840.61 and 997.84 is: 1,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.26 : 1,840.61 = 997.84 : x
  2. Step 2: Convert to fraction form
    1,226.26/1,840.61 = 997.84/x
  3. Step 3: Cross multiply
    1,226.26x = 1,840.61 × 997.84
  4. Step 4: Simplify right side
    1,226.26x = 1,836,634.28
  5. Step 5: Solve for x
    x = 1,836,634.28/1,226.26
  6. Step 6: Final answer
    x = 1,497.75

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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.