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Finding the Fourth Proportional to 1,651.31, 2,278.81 and 905.30

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Solution

The fourth proportional to 1,651.31, 2,278.81 and 905.30 is: 1,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.31 : 2,278.81 = 905.30 : x
  2. Step 2: Convert to fraction form
    1,651.31/2,278.81 = 905.30/x
  3. Step 3: Cross multiply
    1,651.31x = 2,278.81 × 905.30
  4. Step 4: Simplify right side
    1,651.31x = 2,062,990.77
  5. Step 5: Solve for x
    x = 2,062,990.77/1,651.31
  6. Step 6: Final answer
    x = 1,249.31

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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.