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Finding the Fourth Proportional to 2,729.95, 3,766.96 and 1,610.94

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Solution

The fourth proportional to 2,729.95, 3,766.96 and 1,610.94 is: 2,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.95 : 3,766.96 = 1,610.94 : x
  2. Step 2: Convert to fraction form
    2,729.95/3,766.96 = 1,610.94/x
  3. Step 3: Cross multiply
    2,729.95x = 3,766.96 × 1,610.94
  4. Step 4: Simplify right side
    2,729.95x = 6,068,332.43
  5. Step 5: Solve for x
    x = 6,068,332.43/2,729.95
  6. Step 6: Final answer
    x = 2,222.87

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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.