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Finding the Fourth Proportional to 2,393.06, 3,591.39 and 932.31

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Solution

The fourth proportional to 2,393.06, 3,591.39 and 932.31 is: 1,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.06 : 3,591.39 = 932.31 : x
  2. Step 2: Convert to fraction form
    2,393.06/3,591.39 = 932.31/x
  3. Step 3: Cross multiply
    2,393.06x = 3,591.39 × 932.31
  4. Step 4: Simplify right side
    2,393.06x = 3,348,288.81
  5. Step 5: Solve for x
    x = 3,348,288.81/2,393.06
  6. Step 6: Final answer
    x = 1,399.17

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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.