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Finding the Fourth Proportional to 2,064.69, 3,098.88 and 1,286.19

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Solution

The fourth proportional to 2,064.69, 3,098.88 and 1,286.19 is: 1,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.69 : 3,098.88 = 1,286.19 : x
  2. Step 2: Convert to fraction form
    2,064.69/3,098.88 = 1,286.19/x
  3. Step 3: Cross multiply
    2,064.69x = 3,098.88 × 1,286.19
  4. Step 4: Simplify right side
    2,064.69x = 3,985,748.47
  5. Step 5: Solve for x
    x = 3,985,748.47/2,064.69
  6. Step 6: Final answer
    x = 1,930.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.