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Finding the Fourth Proportional to 2,096.44, 3,144.66 and 557.44

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Solution

The fourth proportional to 2,096.44, 3,144.66 and 557.44 is: 836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.44 : 3,144.66 = 557.44 : x
  2. Step 2: Convert to fraction form
    2,096.44/3,144.66 = 557.44/x
  3. Step 3: Cross multiply
    2,096.44x = 3,144.66 × 557.44
  4. Step 4: Simplify right side
    2,096.44x = 1,752,949.32
  5. Step 5: Solve for x
    x = 1,752,949.32/2,096.44
  6. Step 6: Final answer
    x = 836.16

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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.