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Finding the Fourth Proportional to 2,510.66, 3,766.02 and 1,194.56

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Solution

The fourth proportional to 2,510.66, 3,766.02 and 1,194.56 is: 1,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.66 : 3,766.02 = 1,194.56 : x
  2. Step 2: Convert to fraction form
    2,510.66/3,766.02 = 1,194.56/x
  3. Step 3: Cross multiply
    2,510.66x = 3,766.02 × 1,194.56
  4. Step 4: Simplify right side
    2,510.66x = 4,498,718.02
  5. Step 5: Solve for x
    x = 4,498,718.02/2,510.66
  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.