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Finding the Fourth Proportional to 1,896.80, 2,618.89 and 1,188.95

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Solution

The fourth proportional to 1,896.80, 2,618.89 and 1,188.95 is: 1,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.80 : 2,618.89 = 1,188.95 : x
  2. Step 2: Convert to fraction form
    1,896.80/2,618.89 = 1,188.95/x
  3. Step 3: Cross multiply
    1,896.80x = 2,618.89 × 1,188.95
  4. Step 4: Simplify right side
    1,896.80x = 3,113,713.20
  5. Step 5: Solve for x
    x = 3,113,713.20/1,896.80
  6. Step 6: Final answer
    x = 1,641.57

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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.