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Finding the Fourth Proportional to 3,020.95, 4,165 and 1,956.82

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Solution

The fourth proportional to 3,020.95, 4,165 and 1,956.82 is: 2,697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.95 : 4,165 = 1,956.82 : x
  2. Step 2: Convert to fraction form
    3,020.95/4,165 = 1,956.82/x
  3. Step 3: Cross multiply
    3,020.95x = 4,165 × 1,956.82
  4. Step 4: Simplify right side
    3,020.95x = 8,150,155.30
  5. Step 5: Solve for x
    x = 8,150,155.30/3,020.95
  6. Step 6: Final answer
    x = 2,697.88

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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.