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Finding the Fourth Proportional to 1,614.02, 2,227.31 and 905.86

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Solution

The fourth proportional to 1,614.02, 2,227.31 and 905.86 is: 1,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.02 : 2,227.31 = 905.86 : x
  2. Step 2: Convert to fraction form
    1,614.02/2,227.31 = 905.86/x
  3. Step 3: Cross multiply
    1,614.02x = 2,227.31 × 905.86
  4. Step 4: Simplify right side
    1,614.02x = 2,017,631.04
  5. Step 5: Solve for x
    x = 2,017,631.04/1,614.02
  6. Step 6: Final answer
    x = 1,250.07

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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.