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Finding the Fourth Proportional to 1,571.06, 2,167.90 and 941.57

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Solution

The fourth proportional to 1,571.06, 2,167.90 and 941.57 is: 1,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.06 : 2,167.90 = 941.57 : x
  2. Step 2: Convert to fraction form
    1,571.06/2,167.90 = 941.57/x
  3. Step 3: Cross multiply
    1,571.06x = 2,167.90 × 941.57
  4. Step 4: Simplify right side
    1,571.06x = 2,041,229.60
  5. Step 5: Solve for x
    x = 2,041,229.60/1,571.06
  6. Step 6: Final answer
    x = 1,299.27

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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.