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Finding the Fourth Proportional to 2,127.09, 3,190.63 and 567.10

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Solution

The fourth proportional to 2,127.09, 3,190.63 and 567.10 is: 850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.09 : 3,190.63 = 567.10 : x
  2. Step 2: Convert to fraction form
    2,127.09/3,190.63 = 567.10/x
  3. Step 3: Cross multiply
    2,127.09x = 3,190.63 × 567.10
  4. Step 4: Simplify right side
    2,127.09x = 1,809,390.32
  5. Step 5: Solve for x
    x = 1,809,390.32/2,127.09
  6. Step 6: Final answer
    x = 850.64

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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.