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Finding the Fourth Proportional to 2,008.48, 2,770.64 and 1,180

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Solution

The fourth proportional to 2,008.48, 2,770.64 and 1,180 is: 1,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.48 : 2,770.64 = 1,180 : x
  2. Step 2: Convert to fraction form
    2,008.48/2,770.64 = 1,180/x
  3. Step 3: Cross multiply
    2,008.48x = 2,770.64 × 1,180
  4. Step 4: Simplify right side
    2,008.48x = 3,269,355.20
  5. Step 5: Solve for x
    x = 3,269,355.20/2,008.48
  6. Step 6: Final answer
    x = 1,627.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.