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Finding the Fourth Proportional to 2,216.64, 3,325.60 and 2,212.80

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Solution

The fourth proportional to 2,216.64, 3,325.60 and 2,212.80 is: 3,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.64 : 3,325.60 = 2,212.80 : x
  2. Step 2: Convert to fraction form
    2,216.64/3,325.60 = 2,212.80/x
  3. Step 3: Cross multiply
    2,216.64x = 3,325.60 × 2,212.80
  4. Step 4: Simplify right side
    2,216.64x = 7,358,887.68
  5. Step 5: Solve for x
    x = 7,358,887.68/2,216.64
  6. Step 6: Final answer
    x = 3,319.84

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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.