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Finding the Fourth Proportional to 1,950.58, 2,691.78 and 1,099.75

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Solution

The fourth proportional to 1,950.58, 2,691.78 and 1,099.75 is: 1,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.58 : 2,691.78 = 1,099.75 : x
  2. Step 2: Convert to fraction form
    1,950.58/2,691.78 = 1,099.75/x
  3. Step 3: Cross multiply
    1,950.58x = 2,691.78 × 1,099.75
  4. Step 4: Simplify right side
    1,950.58x = 2,960,285.06
  5. Step 5: Solve for x
    x = 2,960,285.06/1,950.58
  6. Step 6: Final answer
    x = 1,517.64

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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.