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Finding the Fourth Proportional to 2,213.93, 3,323.24 and 1,629.60

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Solution

The fourth proportional to 2,213.93, 3,323.24 and 1,629.60 is: 2,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.93 : 3,323.24 = 1,629.60 : x
  2. Step 2: Convert to fraction form
    2,213.93/3,323.24 = 1,629.60/x
  3. Step 3: Cross multiply
    2,213.93x = 3,323.24 × 1,629.60
  4. Step 4: Simplify right side
    2,213.93x = 5,415,543.76
  5. Step 5: Solve for x
    x = 5,415,543.76/2,213.93
  6. Step 6: Final answer
    x = 2,446.13

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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.