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Finding the Fourth Proportional to 2,127.06, 3,190.83 and 567.12

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Solution

The fourth proportional to 2,127.06, 3,190.83 and 567.12 is: 850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.06 : 3,190.83 = 567.12 : x
  2. Step 2: Convert to fraction form
    2,127.06/3,190.83 = 567.12/x
  3. Step 3: Cross multiply
    2,127.06x = 3,190.83 × 567.12
  4. Step 4: Simplify right side
    2,127.06x = 1,809,575.40
  5. Step 5: Solve for x
    x = 1,809,575.40/2,127.06
  6. Step 6: Final answer
    x = 850.74

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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.