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Finding the Fourth Proportional to 2,588.70, 3,571.31 and 2,140.37

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Solution

The fourth proportional to 2,588.70, 3,571.31 and 2,140.37 is: 2,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.70 : 3,571.31 = 2,140.37 : x
  2. Step 2: Convert to fraction form
    2,588.70/3,571.31 = 2,140.37/x
  3. Step 3: Cross multiply
    2,588.70x = 3,571.31 × 2,140.37
  4. Step 4: Simplify right side
    2,588.70x = 7,643,912.28
  5. Step 5: Solve for x
    x = 7,643,912.28/2,588.70
  6. Step 6: Final answer
    x = 2,952.80

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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.