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Finding the Fourth Proportional to 2,008.80, 2,721.60 and 2,008.80

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Solution

The fourth proportional to 2,008.80, 2,721.60 and 2,008.80 is: 2,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.80 : 2,721.60 = 2,008.80 : x
  2. Step 2: Convert to fraction form
    2,008.80/2,721.60 = 2,008.80/x
  3. Step 3: Cross multiply
    2,008.80x = 2,721.60 × 2,008.80
  4. Step 4: Simplify right side
    2,008.80x = 5,467,150.08
  5. Step 5: Solve for x
    x = 5,467,150.08/2,008.80
  6. Step 6: Final answer
    x = 2,721.60

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.