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Finding the Fourth Proportional to 2,216.12, 3,320.06 and 828.59

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Solution

The fourth proportional to 2,216.12, 3,320.06 and 828.59 is: 1,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.12 : 3,320.06 = 828.59 : x
  2. Step 2: Convert to fraction form
    2,216.12/3,320.06 = 828.59/x
  3. Step 3: Cross multiply
    2,216.12x = 3,320.06 × 828.59
  4. Step 4: Simplify right side
    2,216.12x = 2,750,947.77
  5. Step 5: Solve for x
    x = 2,750,947.77/2,216.12
  6. Step 6: Final answer
    x = 1,241.34

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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.