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Finding the Fourth Proportional to 2,214.14, 3,321.38 and 897.27

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Solution

The fourth proportional to 2,214.14, 3,321.38 and 897.27 is: 1,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.14 : 3,321.38 = 897.27 : x
  2. Step 2: Convert to fraction form
    2,214.14/3,321.38 = 897.27/x
  3. Step 3: Cross multiply
    2,214.14x = 3,321.38 × 897.27
  4. Step 4: Simplify right side
    2,214.14x = 2,980,174.63
  5. Step 5: Solve for x
    x = 2,980,174.63/2,214.14
  6. Step 6: Final answer
    x = 1,345.97

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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.