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Finding the Fourth Proportional to 2,618.63, 3,613.71 and 1,439.78

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Solution

The fourth proportional to 2,618.63, 3,613.71 and 1,439.78 is: 1,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.63 : 3,613.71 = 1,439.78 : x
  2. Step 2: Convert to fraction form
    2,618.63/3,613.71 = 1,439.78/x
  3. Step 3: Cross multiply
    2,618.63x = 3,613.71 × 1,439.78
  4. Step 4: Simplify right side
    2,618.63x = 5,202,947.38
  5. Step 5: Solve for x
    x = 5,202,947.38/2,618.63
  6. Step 6: Final answer
    x = 1,986.90

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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.