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Finding the Fourth Proportional to 2,134.23, 2,945.31 and 1,294.80

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Solution

The fourth proportional to 2,134.23, 2,945.31 and 1,294.80 is: 1,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.23 : 2,945.31 = 1,294.80 : x
  2. Step 2: Convert to fraction form
    2,134.23/2,945.31 = 1,294.80/x
  3. Step 3: Cross multiply
    2,134.23x = 2,945.31 × 1,294.80
  4. Step 4: Simplify right side
    2,134.23x = 3,813,587.39
  5. Step 5: Solve for x
    x = 3,813,587.39/2,134.23
  6. Step 6: Final answer
    x = 1,786.87

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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.