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Finding the Fourth Proportional to 2,064.94, 3,098.70 and 1,286.47

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Solution

The fourth proportional to 2,064.94, 3,098.70 and 1,286.47 is: 1,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.94 : 3,098.70 = 1,286.47 : x
  2. Step 2: Convert to fraction form
    2,064.94/3,098.70 = 1,286.47/x
  3. Step 3: Cross multiply
    2,064.94x = 3,098.70 × 1,286.47
  4. Step 4: Simplify right side
    2,064.94x = 3,986,384.59
  5. Step 5: Solve for x
    x = 3,986,384.59/2,064.94
  6. Step 6: Final answer
    x = 1,930.51

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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.