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Finding the Fourth Proportional to 2,214.58, 3,319.84 and 982.23

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Solution

The fourth proportional to 2,214.58, 3,319.84 and 982.23 is: 1,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.58 : 3,319.84 = 982.23 : x
  2. Step 2: Convert to fraction form
    2,214.58/3,319.84 = 982.23/x
  3. Step 3: Cross multiply
    2,214.58x = 3,319.84 × 982.23
  4. Step 4: Simplify right side
    2,214.58x = 3,260,835.69
  5. Step 5: Solve for x
    x = 3,260,835.69/2,214.58
  6. Step 6: Final answer
    x = 1,472.44

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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.