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Finding the Fourth Proportional to 2,706.96, 4,053.90 and 2,241.30

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Solution

The fourth proportional to 2,706.96, 4,053.90 and 2,241.30 is: 3,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.96 : 4,053.90 = 2,241.30 : x
  2. Step 2: Convert to fraction form
    2,706.96/4,053.90 = 2,241.30/x
  3. Step 3: Cross multiply
    2,706.96x = 4,053.90 × 2,241.30
  4. Step 4: Simplify right side
    2,706.96x = 9,086,006.07
  5. Step 5: Solve for x
    x = 9,086,006.07/2,706.96
  6. Step 6: Final answer
    x = 3,356.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.