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Finding the Fourth Proportional to 2,200.21, 3,298.14 and 883.54

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Solution

The fourth proportional to 2,200.21, 3,298.14 and 883.54 is: 1,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.21 : 3,298.14 = 883.54 : x
  2. Step 2: Convert to fraction form
    2,200.21/3,298.14 = 883.54/x
  3. Step 3: Cross multiply
    2,200.21x = 3,298.14 × 883.54
  4. Step 4: Simplify right side
    2,200.21x = 2,914,038.62
  5. Step 5: Solve for x
    x = 2,914,038.62/2,200.21
  6. Step 6: Final answer
    x = 1,324.44

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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.