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Finding the Fourth Proportional to 2,216.05, 3,321.48 and 1,424.40

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Solution

The fourth proportional to 2,216.05, 3,321.48 and 1,424.40 is: 2,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.05 : 3,321.48 = 1,424.40 : x
  2. Step 2: Convert to fraction form
    2,216.05/3,321.48 = 1,424.40/x
  3. Step 3: Cross multiply
    2,216.05x = 3,321.48 × 1,424.40
  4. Step 4: Simplify right side
    2,216.05x = 4,731,116.11
  5. Step 5: Solve for x
    x = 4,731,116.11/2,216.05
  6. Step 6: Final answer
    x = 2,134.93

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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.