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Finding the Fourth Proportional to 2,006.90, 2,770.28 and 1,796.70

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Solution

The fourth proportional to 2,006.90, 2,770.28 and 1,796.70 is: 2,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.90 : 2,770.28 = 1,796.70 : x
  2. Step 2: Convert to fraction form
    2,006.90/2,770.28 = 1,796.70/x
  3. Step 3: Cross multiply
    2,006.90x = 2,770.28 × 1,796.70
  4. Step 4: Simplify right side
    2,006.90x = 4,977,362.08
  5. Step 5: Solve for x
    x = 4,977,362.08/2,006.90
  6. Step 6: Final answer
    x = 2,480.12

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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.