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Finding the Fourth Proportional to 1,571.54, 2,168.65 and 872.90

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Solution

The fourth proportional to 1,571.54, 2,168.65 and 872.90 is: 1,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.54 : 2,168.65 = 872.90 : x
  2. Step 2: Convert to fraction form
    1,571.54/2,168.65 = 872.90/x
  3. Step 3: Cross multiply
    1,571.54x = 2,168.65 × 872.90
  4. Step 4: Simplify right side
    1,571.54x = 1,893,014.59
  5. Step 5: Solve for x
    x = 1,893,014.59/1,571.54
  6. Step 6: Final answer
    x = 1,204.56

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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.