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Finding the Fourth Proportional to 2,544.88, 3,809.22 and 2,194.96

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Solution

The fourth proportional to 2,544.88, 3,809.22 and 2,194.96 is: 3,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.88 : 3,809.22 = 2,194.96 : x
  2. Step 2: Convert to fraction form
    2,544.88/3,809.22 = 2,194.96/x
  3. Step 3: Cross multiply
    2,544.88x = 3,809.22 × 2,194.96
  4. Step 4: Simplify right side
    2,544.88x = 8,361,085.53
  5. Step 5: Solve for x
    x = 8,361,085.53/2,544.88
  6. Step 6: Final answer
    x = 3,285.45

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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.