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Finding the Fourth Proportional to 2,619, 3,613.95 and 1,439.84

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Solution

The fourth proportional to 2,619, 3,613.95 and 1,439.84 is: 1,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619 : 3,613.95 = 1,439.84 : x
  2. Step 2: Convert to fraction form
    2,619/3,613.95 = 1,439.84/x
  3. Step 3: Cross multiply
    2,619x = 3,613.95 × 1,439.84
  4. Step 4: Simplify right side
    2,619x = 5,203,518.80
  5. Step 5: Solve for x
    x = 5,203,518.80/2,619
  6. Step 6: Final answer
    x = 1,986.83

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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.