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Finding the Fourth Proportional to 2,006.25, 2,770.34 and 1,261.46

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Solution

The fourth proportional to 2,006.25, 2,770.34 and 1,261.46 is: 1,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.25 : 2,770.34 = 1,261.46 : x
  2. Step 2: Convert to fraction form
    2,006.25/2,770.34 = 1,261.46/x
  3. Step 3: Cross multiply
    2,006.25x = 2,770.34 × 1,261.46
  4. Step 4: Simplify right side
    2,006.25x = 3,494,652.94
  5. Step 5: Solve for x
    x = 3,494,652.94/2,006.25
  6. Step 6: Final answer
    x = 1,741.88

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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.