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Finding the Fourth Proportional to 2,214.42, 3,322.17 and 654.41

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Solution

The fourth proportional to 2,214.42, 3,322.17 and 654.41 is: 981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.42 : 3,322.17 = 654.41 : x
  2. Step 2: Convert to fraction form
    2,214.42/3,322.17 = 654.41/x
  3. Step 3: Cross multiply
    2,214.42x = 3,322.17 × 654.41
  4. Step 4: Simplify right side
    2,214.42x = 2,174,061.27
  5. Step 5: Solve for x
    x = 2,174,061.27/2,214.42
  6. Step 6: Final answer
    x = 981.78

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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.