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Finding the Fourth Proportional to 2,469.94, 3,704.91 and 1,008.07

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Solution

The fourth proportional to 2,469.94, 3,704.91 and 1,008.07 is: 1,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.94 : 3,704.91 = 1,008.07 : x
  2. Step 2: Convert to fraction form
    2,469.94/3,704.91 = 1,008.07/x
  3. Step 3: Cross multiply
    2,469.94x = 3,704.91 × 1,008.07
  4. Step 4: Simplify right side
    2,469.94x = 3,734,814.51
  5. Step 5: Solve for x
    x = 3,734,814.51/2,469.94
  6. Step 6: Final answer
    x = 1,512.11

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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.