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Finding the Fourth Proportional to 2,043.92, 3,063.16 and 744.16

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Solution

The fourth proportional to 2,043.92, 3,063.16 and 744.16 is: 1,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.92 : 3,063.16 = 744.16 : x
  2. Step 2: Convert to fraction form
    2,043.92/3,063.16 = 744.16/x
  3. Step 3: Cross multiply
    2,043.92x = 3,063.16 × 744.16
  4. Step 4: Simplify right side
    2,043.92x = 2,279,481.15
  5. Step 5: Solve for x
    x = 2,279,481.15/2,043.92
  6. Step 6: Final answer
    x = 1,115.25

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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.