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Finding the Fourth Proportional to 2,653.96, 3,980.94 and 1,286.92

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Solution

The fourth proportional to 2,653.96, 3,980.94 and 1,286.92 is: 1,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.96 : 3,980.94 = 1,286.92 : x
  2. Step 2: Convert to fraction form
    2,653.96/3,980.94 = 1,286.92/x
  3. Step 3: Cross multiply
    2,653.96x = 3,980.94 × 1,286.92
  4. Step 4: Simplify right side
    2,653.96x = 5,123,151.30
  5. Step 5: Solve for x
    x = 5,123,151.30/2,653.96
  6. Step 6: Final answer
    x = 1,930.38

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Similar ratio
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1.5x scale

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.