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Finding the Fourth Proportional to 1,520.97, 2,097.86 and 1,286.47

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Solution

The fourth proportional to 1,520.97, 2,097.86 and 1,286.47 is: 1,774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.97 : 2,097.86 = 1,286.47 : x
  2. Step 2: Convert to fraction form
    1,520.97/2,097.86 = 1,286.47/x
  3. Step 3: Cross multiply
    1,520.97x = 2,097.86 × 1,286.47
  4. Step 4: Simplify right side
    1,520.97x = 2,698,833.95
  5. Step 5: Solve for x
    x = 2,698,833.95/1,520.97
  6. Step 6: Final answer
    x = 1,774.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.