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Finding the Fourth Proportional to 2,127.26, 3,191.14 and 567.33

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Solution

The fourth proportional to 2,127.26, 3,191.14 and 567.33 is: 851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.26 : 3,191.14 = 567.33 : x
  2. Step 2: Convert to fraction form
    2,127.26/3,191.14 = 567.33/x
  3. Step 3: Cross multiply
    2,127.26x = 3,191.14 × 567.33
  4. Step 4: Simplify right side
    2,127.26x = 1,810,429.46
  5. Step 5: Solve for x
    x = 1,810,429.46/2,127.26
  6. Step 6: Final answer
    x = 851.06

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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.