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Finding the Fourth Proportional to 2,244.77, 3,367.56 and 684.90

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Solution

The fourth proportional to 2,244.77, 3,367.56 and 684.90 is: 1,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.77 : 3,367.56 = 684.90 : x
  2. Step 2: Convert to fraction form
    2,244.77/3,367.56 = 684.90/x
  3. Step 3: Cross multiply
    2,244.77x = 3,367.56 × 684.90
  4. Step 4: Simplify right side
    2,244.77x = 2,306,441.84
  5. Step 5: Solve for x
    x = 2,306,441.84/2,244.77
  6. Step 6: Final answer
    x = 1,027.48

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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.