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Finding the Fourth Proportional to 2,734, 4,099 and 1,002.64

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Solution

The fourth proportional to 2,734, 4,099 and 1,002.64 is: 1,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734 : 4,099 = 1,002.64 : x
  2. Step 2: Convert to fraction form
    2,734/4,099 = 1,002.64/x
  3. Step 3: Cross multiply
    2,734x = 4,099 × 1,002.64
  4. Step 4: Simplify right side
    2,734x = 4,109,821.36
  5. Step 5: Solve for x
    x = 4,109,821.36/2,734
  6. Step 6: Final answer
    x = 1,503.23

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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.