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Finding the Fourth Proportional to 2,214.91, 3,323.66 and 982.46

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Solution

The fourth proportional to 2,214.91, 3,323.66 and 982.46 is: 1,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.91 : 3,323.66 = 982.46 : x
  2. Step 2: Convert to fraction form
    2,214.91/3,323.66 = 982.46/x
  3. Step 3: Cross multiply
    2,214.91x = 3,323.66 × 982.46
  4. Step 4: Simplify right side
    2,214.91x = 3,265,363.00
  5. Step 5: Solve for x
    x = 3,265,363.00/2,214.91
  6. Step 6: Final answer
    x = 1,474.26

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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.