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Finding the Fourth Proportional to 2,884.40, 4,326.60 and 2,193.20

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Solution

The fourth proportional to 2,884.40, 4,326.60 and 2,193.20 is: 3,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.40 : 4,326.60 = 2,193.20 : x
  2. Step 2: Convert to fraction form
    2,884.40/4,326.60 = 2,193.20/x
  3. Step 3: Cross multiply
    2,884.40x = 4,326.60 × 2,193.20
  4. Step 4: Simplify right side
    2,884.40x = 9,489,099.12
  5. Step 5: Solve for x
    x = 9,489,099.12/2,884.40
  6. Step 6: Final answer
    x = 3,289.80

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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.