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Finding the Fourth Proportional to 2,006.35, 2,770.05 and 1,796.15

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Solution

The fourth proportional to 2,006.35, 2,770.05 and 1,796.15 is: 2,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.35 : 2,770.05 = 1,796.15 : x
  2. Step 2: Convert to fraction form
    2,006.35/2,770.05 = 1,796.15/x
  3. Step 3: Cross multiply
    2,006.35x = 2,770.05 × 1,796.15
  4. Step 4: Simplify right side
    2,006.35x = 4,975,425.31
  5. Step 5: Solve for x
    x = 4,975,425.31/2,006.35
  6. Step 6: Final answer
    x = 2,479.84

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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.