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Finding the Fourth Proportional to 2,847.95, 3,930.15 and 1,605.95

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Solution

The fourth proportional to 2,847.95, 3,930.15 and 1,605.95 is: 2,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.95 : 3,930.15 = 1,605.95 : x
  2. Step 2: Convert to fraction form
    2,847.95/3,930.15 = 1,605.95/x
  3. Step 3: Cross multiply
    2,847.95x = 3,930.15 × 1,605.95
  4. Step 4: Simplify right side
    2,847.95x = 6,311,604.74
  5. Step 5: Solve for x
    x = 6,311,604.74/2,847.95
  6. Step 6: Final answer
    x = 2,216.20

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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.