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Finding the Fourth Proportional to 2,751.15, 4,127.13 and 996.28

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Solution

The fourth proportional to 2,751.15, 4,127.13 and 996.28 is: 1,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.15 : 4,127.13 = 996.28 : x
  2. Step 2: Convert to fraction form
    2,751.15/4,127.13 = 996.28/x
  3. Step 3: Cross multiply
    2,751.15x = 4,127.13 × 996.28
  4. Step 4: Simplify right side
    2,751.15x = 4,111,777.08
  5. Step 5: Solve for x
    x = 4,111,777.08/2,751.15
  6. Step 6: Final answer
    x = 1,494.57

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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.