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Finding the Fourth Proportional to 2,614.86, 3,611.63 and 1,905.56

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Solution

The fourth proportional to 2,614.86, 3,611.63 and 1,905.56 is: 2,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.86 : 3,611.63 = 1,905.56 : x
  2. Step 2: Convert to fraction form
    2,614.86/3,611.63 = 1,905.56/x
  3. Step 3: Cross multiply
    2,614.86x = 3,611.63 × 1,905.56
  4. Step 4: Simplify right side
    2,614.86x = 6,882,177.66
  5. Step 5: Solve for x
    x = 6,882,177.66/2,614.86
  6. Step 6: Final answer
    x = 2,631.95

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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.