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Finding the Fourth Proportional to 2,851.69, 3,935.33 and 1,609.69

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Solution

The fourth proportional to 2,851.69, 3,935.33 and 1,609.69 is: 2,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.69 : 3,935.33 = 1,609.69 : x
  2. Step 2: Convert to fraction form
    2,851.69/3,935.33 = 1,609.69/x
  3. Step 3: Cross multiply
    2,851.69x = 3,935.33 × 1,609.69
  4. Step 4: Simplify right side
    2,851.69x = 6,334,655.53
  5. Step 5: Solve for x
    x = 6,334,655.53/2,851.69
  6. Step 6: Final answer
    x = 2,221.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.