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Finding the Fourth Proportional to 2,655.81, 3,983.71 and 1,194.57

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Solution

The fourth proportional to 2,655.81, 3,983.71 and 1,194.57 is: 1,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.81 : 3,983.71 = 1,194.57 : x
  2. Step 2: Convert to fraction form
    2,655.81/3,983.71 = 1,194.57/x
  3. Step 3: Cross multiply
    2,655.81x = 3,983.71 × 1,194.57
  4. Step 4: Simplify right side
    2,655.81x = 4,758,797.55
  5. Step 5: Solve for x
    x = 4,758,797.55/2,655.81
  6. Step 6: Final answer
    x = 1,791.85

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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.