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Finding the Fourth Proportional to 2,110.75, 3,165.88 and 571.63

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Solution

The fourth proportional to 2,110.75, 3,165.88 and 571.63 is: 857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.75 : 3,165.88 = 571.63 : x
  2. Step 2: Convert to fraction form
    2,110.75/3,165.88 = 571.63/x
  3. Step 3: Cross multiply
    2,110.75x = 3,165.88 × 571.63
  4. Step 4: Simplify right side
    2,110.75x = 1,809,694.73
  5. Step 5: Solve for x
    x = 1,809,694.73/2,110.75
  6. Step 6: Final answer
    x = 857.37

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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.