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Finding the Fourth Proportional to 2,884.28, 4,323.48 and 1,323.20

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Solution

The fourth proportional to 2,884.28, 4,323.48 and 1,323.20 is: 1,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.28 : 4,323.48 = 1,323.20 : x
  2. Step 2: Convert to fraction form
    2,884.28/4,323.48 = 1,323.20/x
  3. Step 3: Cross multiply
    2,884.28x = 4,323.48 × 1,323.20
  4. Step 4: Simplify right side
    2,884.28x = 5,720,834.58
  5. Step 5: Solve for x
    x = 5,720,834.58/2,884.28
  6. Step 6: Final answer
    x = 1,983.46

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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.