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Finding the Fourth Proportional to 1,571.25, 2,168.37 and 872.67

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Solution

The fourth proportional to 1,571.25, 2,168.37 and 872.67 is: 1,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.25 : 2,168.37 = 872.67 : x
  2. Step 2: Convert to fraction form
    1,571.25/2,168.37 = 872.67/x
  3. Step 3: Cross multiply
    1,571.25x = 2,168.37 × 872.67
  4. Step 4: Simplify right side
    1,571.25x = 1,892,271.45
  5. Step 5: Solve for x
    x = 1,892,271.45/1,571.25
  6. Step 6: Final answer
    x = 1,204.31

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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.