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Finding the Fourth Proportional to 2,121.96, 3,181.02 and 753.64

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Solution

The fourth proportional to 2,121.96, 3,181.02 and 753.64 is: 1,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.96 : 3,181.02 = 753.64 : x
  2. Step 2: Convert to fraction form
    2,121.96/3,181.02 = 753.64/x
  3. Step 3: Cross multiply
    2,121.96x = 3,181.02 × 753.64
  4. Step 4: Simplify right side
    2,121.96x = 2,397,343.91
  5. Step 5: Solve for x
    x = 2,397,343.91/2,121.96
  6. Step 6: Final answer
    x = 1,129.78

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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.