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Finding the Fourth Proportional to 2,006.62, 2,769.50 and 1,261.24

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Solution

The fourth proportional to 2,006.62, 2,769.50 and 1,261.24 is: 1,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.62 : 2,769.50 = 1,261.24 : x
  2. Step 2: Convert to fraction form
    2,006.62/2,769.50 = 1,261.24/x
  3. Step 3: Cross multiply
    2,006.62x = 2,769.50 × 1,261.24
  4. Step 4: Simplify right side
    2,006.62x = 3,493,004.18
  5. Step 5: Solve for x
    x = 3,493,004.18/2,006.62
  6. Step 6: Final answer
    x = 1,740.74

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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.