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Finding the Fourth Proportional to 2,708.28, 3,734.83 and 1,646.22

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Solution

The fourth proportional to 2,708.28, 3,734.83 and 1,646.22 is: 2,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.28 : 3,734.83 = 1,646.22 : x
  2. Step 2: Convert to fraction form
    2,708.28/3,734.83 = 1,646.22/x
  3. Step 3: Cross multiply
    2,708.28x = 3,734.83 × 1,646.22
  4. Step 4: Simplify right side
    2,708.28x = 6,148,351.84
  5. Step 5: Solve for x
    x = 6,148,351.84/2,708.28
  6. Step 6: Final answer
    x = 2,270.21

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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.