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Finding the Fourth Proportional to 2,314.56, 3,471.49 and 927.54

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Solution

The fourth proportional to 2,314.56, 3,471.49 and 927.54 is: 1,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.56 : 3,471.49 = 927.54 : x
  2. Step 2: Convert to fraction form
    2,314.56/3,471.49 = 927.54/x
  3. Step 3: Cross multiply
    2,314.56x = 3,471.49 × 927.54
  4. Step 4: Simplify right side
    2,314.56x = 3,219,945.83
  5. Step 5: Solve for x
    x = 3,219,945.83/2,314.56
  6. Step 6: Final answer
    x = 1,391.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.