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Finding the Fourth Proportional to 2,644.25, 3,964.70 and 1,326.43

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Solution

The fourth proportional to 2,644.25, 3,964.70 and 1,326.43 is: 1,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.25 : 3,964.70 = 1,326.43 : x
  2. Step 2: Convert to fraction form
    2,644.25/3,964.70 = 1,326.43/x
  3. Step 3: Cross multiply
    2,644.25x = 3,964.70 × 1,326.43
  4. Step 4: Simplify right side
    2,644.25x = 5,258,875.53
  5. Step 5: Solve for x
    x = 5,258,875.53/2,644.25
  6. Step 6: Final answer
    x = 1,988.80

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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.