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Finding the Fourth Proportional to 2,096.32, 3,144.47 and 557.32

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Solution

The fourth proportional to 2,096.32, 3,144.47 and 557.32 is: 835.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.32 : 3,144.47 = 557.32 : x
  2. Step 2: Convert to fraction form
    2,096.32/3,144.47 = 557.32/x
  3. Step 3: Cross multiply
    2,096.32x = 3,144.47 × 557.32
  4. Step 4: Simplify right side
    2,096.32x = 1,752,460.30
  5. Step 5: Solve for x
    x = 1,752,460.30/2,096.32
  6. Step 6: Final answer
    x = 835.97

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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.