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Finding the Fourth Proportional to 2,216.74, 3,325.20 and 829.93

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Solution

The fourth proportional to 2,216.74, 3,325.20 and 829.93 is: 1,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.74 : 3,325.20 = 829.93 : x
  2. Step 2: Convert to fraction form
    2,216.74/3,325.20 = 829.93/x
  3. Step 3: Cross multiply
    2,216.74x = 3,325.20 × 829.93
  4. Step 4: Simplify right side
    2,216.74x = 2,759,679.09
  5. Step 5: Solve for x
    x = 2,759,679.09/2,216.74
  6. Step 6: Final answer
    x = 1,244.93

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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.