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Finding the Fourth Proportional to 2,743.16, 4,116 and 1,013

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Solution

The fourth proportional to 2,743.16, 4,116 and 1,013 is: 1,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.16 : 4,116 = 1,013 : x
  2. Step 2: Convert to fraction form
    2,743.16/4,116 = 1,013/x
  3. Step 3: Cross multiply
    2,743.16x = 4,116 × 1,013
  4. Step 4: Simplify right side
    2,743.16x = 4,169,508
  5. Step 5: Solve for x
    x = 4,169,508/2,743.16
  6. Step 6: Final answer
    x = 1,519.97

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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.