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Finding the Fourth Proportional to 2,634.70, 3,932.76 and 2,323.32

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Solution

The fourth proportional to 2,634.70, 3,932.76 and 2,323.32 is: 3,467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.70 : 3,932.76 = 2,323.32 : x
  2. Step 2: Convert to fraction form
    2,634.70/3,932.76 = 2,323.32/x
  3. Step 3: Cross multiply
    2,634.70x = 3,932.76 × 2,323.32
  4. Step 4: Simplify right side
    2,634.70x = 9,137,059.96
  5. Step 5: Solve for x
    x = 9,137,059.96/2,634.70
  6. Step 6: Final answer
    x = 3,467.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.