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Finding the Fourth Proportional to 2,961.68, 4,086.52 and 1,900.40

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Solution

The fourth proportional to 2,961.68, 4,086.52 and 1,900.40 is: 2,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.68 : 4,086.52 = 1,900.40 : x
  2. Step 2: Convert to fraction form
    2,961.68/4,086.52 = 1,900.40/x
  3. Step 3: Cross multiply
    2,961.68x = 4,086.52 × 1,900.40
  4. Step 4: Simplify right side
    2,961.68x = 7,766,022.61
  5. Step 5: Solve for x
    x = 7,766,022.61/2,961.68
  6. Step 6: Final answer
    x = 2,622.17

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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.