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Finding the Fourth Proportional to 2,706.99, 3,734.56 and 1,644.36

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Solution

The fourth proportional to 2,706.99, 3,734.56 and 1,644.36 is: 2,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.99 : 3,734.56 = 1,644.36 : x
  2. Step 2: Convert to fraction form
    2,706.99/3,734.56 = 1,644.36/x
  3. Step 3: Cross multiply
    2,706.99x = 3,734.56 × 1,644.36
  4. Step 4: Simplify right side
    2,706.99x = 6,140,961.08
  5. Step 5: Solve for x
    x = 6,140,961.08/2,706.99
  6. Step 6: Final answer
    x = 2,268.56

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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.