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Finding the Fourth Proportional to 2,127.24, 3,191 and 567.22

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Solution

The fourth proportional to 2,127.24, 3,191 and 567.22 is: 850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.24 : 3,191 = 567.22 : x
  2. Step 2: Convert to fraction form
    2,127.24/3,191 = 567.22/x
  3. Step 3: Cross multiply
    2,127.24x = 3,191 × 567.22
  4. Step 4: Simplify right side
    2,127.24x = 1,809,999.02
  5. Step 5: Solve for x
    x = 1,809,999.02/2,127.24
  6. Step 6: Final answer
    x = 850.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.