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Finding the Fourth Proportional to 2,314.07, 3,471.09 and 927.75

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Solution

The fourth proportional to 2,314.07, 3,471.09 and 927.75 is: 1,391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.07 : 3,471.09 = 927.75 : x
  2. Step 2: Convert to fraction form
    2,314.07/3,471.09 = 927.75/x
  3. Step 3: Cross multiply
    2,314.07x = 3,471.09 × 927.75
  4. Step 4: Simplify right side
    2,314.07x = 3,220,303.75
  5. Step 5: Solve for x
    x = 3,220,303.75/2,314.07
  6. Step 6: Final answer
    x = 1,391.62

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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.