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Finding the Fourth Proportional to 4,942.13, 7,414.20 and 1,610.55

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Solution

The fourth proportional to 4,942.13, 7,414.20 and 1,610.55 is: 2,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.13 : 7,414.20 = 1,610.55 : x
  2. Step 2: Convert to fraction form
    4,942.13/7,414.20 = 1,610.55/x
  3. Step 3: Cross multiply
    4,942.13x = 7,414.20 × 1,610.55
  4. Step 4: Simplify right side
    4,942.13x = 11,940,939.81
  5. Step 5: Solve for x
    x = 11,940,939.81/4,942.13
  6. Step 6: Final answer
    x = 2,416.15

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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.