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Finding the Fourth Proportional to 2,216.87, 3,325.76 and 984.45

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Solution

The fourth proportional to 2,216.87, 3,325.76 and 984.45 is: 1,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.87 : 3,325.76 = 984.45 : x
  2. Step 2: Convert to fraction form
    2,216.87/3,325.76 = 984.45/x
  3. Step 3: Cross multiply
    2,216.87x = 3,325.76 × 984.45
  4. Step 4: Simplify right side
    2,216.87x = 3,274,055.67
  5. Step 5: Solve for x
    x = 3,274,055.67/2,216.87
  6. Step 6: Final answer
    x = 1,476.88

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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.