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Finding the Fourth Proportional to 2,706.28, 3,732.08 and 1,644.22

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Solution

The fourth proportional to 2,706.28, 3,732.08 and 1,644.22 is: 2,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.28 : 3,732.08 = 1,644.22 : x
  2. Step 2: Convert to fraction form
    2,706.28/3,732.08 = 1,644.22/x
  3. Step 3: Cross multiply
    2,706.28x = 3,732.08 × 1,644.22
  4. Step 4: Simplify right side
    2,706.28x = 6,136,352.36
  5. Step 5: Solve for x
    x = 6,136,352.36/2,706.28
  6. Step 6: Final answer
    x = 2,267.45

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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.