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Finding the Fourth Proportional to 2,747.91, 3,792 and 1,613.42

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Solution

The fourth proportional to 2,747.91, 3,792 and 1,613.42 is: 2,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.91 : 3,792 = 1,613.42 : x
  2. Step 2: Convert to fraction form
    2,747.91/3,792 = 1,613.42/x
  3. Step 3: Cross multiply
    2,747.91x = 3,792 × 1,613.42
  4. Step 4: Simplify right side
    2,747.91x = 6,118,098.12
  5. Step 5: Solve for x
    x = 6,118,098.12/2,747.91
  6. Step 6: Final answer
    x = 2,226.46

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