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Finding the Fourth Proportional to 1,571.37, 2,168.52 and 863.29

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Solution

The fourth proportional to 1,571.37, 2,168.52 and 863.29 is: 1,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.37 : 2,168.52 = 863.29 : x
  2. Step 2: Convert to fraction form
    1,571.37/2,168.52 = 863.29/x
  3. Step 3: Cross multiply
    1,571.37x = 2,168.52 × 863.29
  4. Step 4: Simplify right side
    1,571.37x = 1,872,051.79
  5. Step 5: Solve for x
    x = 1,872,051.79/1,571.37
  6. Step 6: Final answer
    x = 1,191.35

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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.