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Finding the Fourth Proportional to 2,215.30, 3,323.43 and 734.97

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Solution

The fourth proportional to 2,215.30, 3,323.43 and 734.97 is: 1,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.30 : 3,323.43 = 734.97 : x
  2. Step 2: Convert to fraction form
    2,215.30/3,323.43 = 734.97/x
  3. Step 3: Cross multiply
    2,215.30x = 3,323.43 × 734.97
  4. Step 4: Simplify right side
    2,215.30x = 2,442,633.81
  5. Step 5: Solve for x
    x = 2,442,633.81/2,215.30
  6. Step 6: Final answer
    x = 1,102.62

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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.