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Finding the Fourth Proportional to 2,096.12, 3,144.08 and 709.52

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Solution

The fourth proportional to 2,096.12, 3,144.08 and 709.52 is: 1,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.12 : 3,144.08 = 709.52 : x
  2. Step 2: Convert to fraction form
    2,096.12/3,144.08 = 709.52/x
  3. Step 3: Cross multiply
    2,096.12x = 3,144.08 × 709.52
  4. Step 4: Simplify right side
    2,096.12x = 2,230,773.69
  5. Step 5: Solve for x
    x = 2,230,773.69/2,096.12
  6. Step 6: Final answer
    x = 1,064.24

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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.