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Finding the Fourth Proportional to 2,474.07, 3,711.12 and 1,013.22

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Solution

The fourth proportional to 2,474.07, 3,711.12 and 1,013.22 is: 1,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.07 : 3,711.12 = 1,013.22 : x
  2. Step 2: Convert to fraction form
    2,474.07/3,711.12 = 1,013.22/x
  3. Step 3: Cross multiply
    2,474.07x = 3,711.12 × 1,013.22
  4. Step 4: Simplify right side
    2,474.07x = 3,760,181.01
  5. Step 5: Solve for x
    x = 3,760,181.01/2,474.07
  6. Step 6: Final answer
    x = 1,519.84

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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.