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Finding the Fourth Proportional to 1,571.59, 2,168.84 and 942.22

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Solution

The fourth proportional to 1,571.59, 2,168.84 and 942.22 is: 1,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.59 : 2,168.84 = 942.22 : x
  2. Step 2: Convert to fraction form
    1,571.59/2,168.84 = 942.22/x
  3. Step 3: Cross multiply
    1,571.59x = 2,168.84 × 942.22
  4. Step 4: Simplify right side
    1,571.59x = 2,043,524.42
  5. Step 5: Solve for x
    x = 2,043,524.42/1,571.59
  6. Step 6: Final answer
    x = 1,300.29

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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.