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Finding the Fourth Proportional to 3,099.90, 4,277.75 and 1,920.95

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Solution

The fourth proportional to 3,099.90, 4,277.75 and 1,920.95 is: 2,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.90 : 4,277.75 = 1,920.95 : x
  2. Step 2: Convert to fraction form
    3,099.90/4,277.75 = 1,920.95/x
  3. Step 3: Cross multiply
    3,099.90x = 4,277.75 × 1,920.95
  4. Step 4: Simplify right side
    3,099.90x = 8,217,312.87
  5. Step 5: Solve for x
    x = 8,217,312.87/3,099.90
  6. Step 6: Final answer
    x = 2,650.83

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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.