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Finding the Fourth Proportional to 2,216.17, 3,321.91 and 828.60

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Solution

The fourth proportional to 2,216.17, 3,321.91 and 828.60 is: 1,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.17 : 3,321.91 = 828.60 : x
  2. Step 2: Convert to fraction form
    2,216.17/3,321.91 = 828.60/x
  3. Step 3: Cross multiply
    2,216.17x = 3,321.91 × 828.60
  4. Step 4: Simplify right side
    2,216.17x = 2,752,534.63
  5. Step 5: Solve for x
    x = 2,752,534.63/2,216.17
  6. Step 6: Final answer
    x = 1,242.02

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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.