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Finding the Fourth Proportional to 2,008.90, 2,769.40 and 1,676.80

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Solution

The fourth proportional to 2,008.90, 2,769.40 and 1,676.80 is: 2,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.90 : 2,769.40 = 1,676.80 : x
  2. Step 2: Convert to fraction form
    2,008.90/2,769.40 = 1,676.80/x
  3. Step 3: Cross multiply
    2,008.90x = 2,769.40 × 1,676.80
  4. Step 4: Simplify right side
    2,008.90x = 4,643,729.92
  5. Step 5: Solve for x
    x = 4,643,729.92/2,008.90
  6. Step 6: Final answer
    x = 2,311.58

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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.