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Finding the Fourth Proportional to 2,588.25, 3,571.29 and 1,644.20

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Solution

The fourth proportional to 2,588.25, 3,571.29 and 1,644.20 is: 2,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.25 : 3,571.29 = 1,644.20 : x
  2. Step 2: Convert to fraction form
    2,588.25/3,571.29 = 1,644.20/x
  3. Step 3: Cross multiply
    2,588.25x = 3,571.29 × 1,644.20
  4. Step 4: Simplify right side
    2,588.25x = 5,871,905.13
  5. Step 5: Solve for x
    x = 5,871,905.13/2,588.25
  6. Step 6: Final answer
    x = 2,268.68

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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.