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Finding the Fourth Proportional to 2,216.55, 3,325.58 and 984.82

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Solution

The fourth proportional to 2,216.55, 3,325.58 and 984.82 is: 1,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.55 : 3,325.58 = 984.82 : x
  2. Step 2: Convert to fraction form
    2,216.55/3,325.58 = 984.82/x
  3. Step 3: Cross multiply
    2,216.55x = 3,325.58 × 984.82
  4. Step 4: Simplify right side
    2,216.55x = 3,275,097.70
  5. Step 5: Solve for x
    x = 3,275,097.70/2,216.55
  6. Step 6: Final answer
    x = 1,477.57

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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.