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Finding the Fourth Proportional to 2,216.04, 3,324.35 and 829.05

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Solution

The fourth proportional to 2,216.04, 3,324.35 and 829.05 is: 1,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.04 : 3,324.35 = 829.05 : x
  2. Step 2: Convert to fraction form
    2,216.04/3,324.35 = 829.05/x
  3. Step 3: Cross multiply
    2,216.04x = 3,324.35 × 829.05
  4. Step 4: Simplify right side
    2,216.04x = 2,756,041.97
  5. Step 5: Solve for x
    x = 2,756,041.97/2,216.04
  6. Step 6: Final answer
    x = 1,243.68

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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.