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Finding the Fourth Proportional to 1,896.32, 2,847.11 and 1,309.95

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Solution

The fourth proportional to 1,896.32, 2,847.11 and 1,309.95 is: 1,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.32 : 2,847.11 = 1,309.95 : x
  2. Step 2: Convert to fraction form
    1,896.32/2,847.11 = 1,309.95/x
  3. Step 3: Cross multiply
    1,896.32x = 2,847.11 × 1,309.95
  4. Step 4: Simplify right side
    1,896.32x = 3,729,565.19
  5. Step 5: Solve for x
    x = 3,729,565.19/1,896.32
  6. Step 6: Final answer
    x = 1,966.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.