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Finding the Fourth Proportional to 2,216.01, 3,323.19 and 734.96

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Solution

The fourth proportional to 2,216.01, 3,323.19 and 734.96 is: 1,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.01 : 3,323.19 = 734.96 : x
  2. Step 2: Convert to fraction form
    2,216.01/3,323.19 = 734.96/x
  3. Step 3: Cross multiply
    2,216.01x = 3,323.19 × 734.96
  4. Step 4: Simplify right side
    2,216.01x = 2,442,409.89
  5. Step 5: Solve for x
    x = 2,442,409.89/2,216.01
  6. Step 6: Final answer
    x = 1,102.17

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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.