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Finding the Fourth Proportional to 2,216.55, 3,322.23 and 1,424.90

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Solution

The fourth proportional to 2,216.55, 3,322.23 and 1,424.90 is: 2,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.55 : 3,322.23 = 1,424.90 : x
  2. Step 2: Convert to fraction form
    2,216.55/3,322.23 = 1,424.90/x
  3. Step 3: Cross multiply
    2,216.55x = 3,322.23 × 1,424.90
  4. Step 4: Simplify right side
    2,216.55x = 4,733,845.53
  5. Step 5: Solve for x
    x = 4,733,845.53/2,216.55
  6. Step 6: Final answer
    x = 2,135.68

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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.