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Finding the Fourth Proportional to 2,880.80, 4,311.48 and 2,394.80

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Solution

The fourth proportional to 2,880.80, 4,311.48 and 2,394.80 is: 3,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.80 : 4,311.48 = 2,394.80 : x
  2. Step 2: Convert to fraction form
    2,880.80/4,311.48 = 2,394.80/x
  3. Step 3: Cross multiply
    2,880.80x = 4,311.48 × 2,394.80
  4. Step 4: Simplify right side
    2,880.80x = 10,325,132.30
  5. Step 5: Solve for x
    x = 10,325,132.30/2,880.80
  6. Step 6: Final answer
    x = 3,584.12

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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.