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Finding the Fourth Proportional to 2,110.69, 3,166.03 and 571.69

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Solution

The fourth proportional to 2,110.69, 3,166.03 and 571.69 is: 857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.69 : 3,166.03 = 571.69 : x
  2. Step 2: Convert to fraction form
    2,110.69/3,166.03 = 571.69/x
  3. Step 3: Cross multiply
    2,110.69x = 3,166.03 × 571.69
  4. Step 4: Simplify right side
    2,110.69x = 1,809,987.69
  5. Step 5: Solve for x
    x = 1,809,987.69/2,110.69
  6. Step 6: Final answer
    x = 857.53

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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.