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Finding the Fourth Proportional to 1,286.54, 1,936.62 and 1,098.62

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Solution

The fourth proportional to 1,286.54, 1,936.62 and 1,098.62 is: 1,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.54 : 1,936.62 = 1,098.62 : x
  2. Step 2: Convert to fraction form
    1,286.54/1,936.62 = 1,098.62/x
  3. Step 3: Cross multiply
    1,286.54x = 1,936.62 × 1,098.62
  4. Step 4: Simplify right side
    1,286.54x = 2,127,599.78
  5. Step 5: Solve for x
    x = 2,127,599.78/1,286.54
  6. Step 6: Final answer
    x = 1,653.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.