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Finding the Fourth Proportional to 2,747.51, 3,791.48 and 1,613.16

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Solution

The fourth proportional to 2,747.51, 3,791.48 and 1,613.16 is: 2,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.51 : 3,791.48 = 1,613.16 : x
  2. Step 2: Convert to fraction form
    2,747.51/3,791.48 = 1,613.16/x
  3. Step 3: Cross multiply
    2,747.51x = 3,791.48 × 1,613.16
  4. Step 4: Simplify right side
    2,747.51x = 6,116,252.38
  5. Step 5: Solve for x
    x = 6,116,252.38/2,747.51
  6. Step 6: Final answer
    x = 2,226.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.