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Finding the Fourth Proportional to 3,044.80, 4,567.20 and 2,267.20

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Solution

The fourth proportional to 3,044.80, 4,567.20 and 2,267.20 is: 3,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.80 : 4,567.20 = 2,267.20 : x
  2. Step 2: Convert to fraction form
    3,044.80/4,567.20 = 2,267.20/x
  3. Step 3: Cross multiply
    3,044.80x = 4,567.20 × 2,267.20
  4. Step 4: Simplify right side
    3,044.80x = 10,354,755.84
  5. Step 5: Solve for x
    x = 10,354,755.84/3,044.80
  6. Step 6: Final answer
    x = 3,400.80

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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.