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Finding the Fourth Proportional to 2,753.28, 3,800.25 and 1,706.22

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Solution

The fourth proportional to 2,753.28, 3,800.25 and 1,706.22 is: 2,355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.28 : 3,800.25 = 1,706.22 : x
  2. Step 2: Convert to fraction form
    2,753.28/3,800.25 = 1,706.22/x
  3. Step 3: Cross multiply
    2,753.28x = 3,800.25 × 1,706.22
  4. Step 4: Simplify right side
    2,753.28x = 6,484,062.56
  5. Step 5: Solve for x
    x = 6,484,062.56/2,753.28
  6. Step 6: Final answer
    x = 2,355.03

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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.