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Finding the Fourth Proportional to 1,571.99, 2,167.22 and 1,305.48

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Solution

The fourth proportional to 1,571.99, 2,167.22 and 1,305.48 is: 1,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.99 : 2,167.22 = 1,305.48 : x
  2. Step 2: Convert to fraction form
    1,571.99/2,167.22 = 1,305.48/x
  3. Step 3: Cross multiply
    1,571.99x = 2,167.22 × 1,305.48
  4. Step 4: Simplify right side
    1,571.99x = 2,829,255.84
  5. Step 5: Solve for x
    x = 2,829,255.84/1,571.99
  6. Step 6: Final answer
    x = 1,799.80

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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.