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Finding the Fourth Proportional to 1,709.26, 2,578.18 and 1,608.10

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Solution

The fourth proportional to 1,709.26, 2,578.18 and 1,608.10 is: 2,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.26 : 2,578.18 = 1,608.10 : x
  2. Step 2: Convert to fraction form
    1,709.26/2,578.18 = 1,608.10/x
  3. Step 3: Cross multiply
    1,709.26x = 2,578.18 × 1,608.10
  4. Step 4: Simplify right side
    1,709.26x = 4,145,971.26
  5. Step 5: Solve for x
    x = 4,145,971.26/1,709.26
  6. Step 6: Final answer
    x = 2,425.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.