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Finding the Fourth Proportional to 2,645.98, 3,969.23 and 914.38

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Solution

The fourth proportional to 2,645.98, 3,969.23 and 914.38 is: 1,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.98 : 3,969.23 = 914.38 : x
  2. Step 2: Convert to fraction form
    2,645.98/3,969.23 = 914.38/x
  3. Step 3: Cross multiply
    2,645.98x = 3,969.23 × 914.38
  4. Step 4: Simplify right side
    2,645.98x = 3,629,384.53
  5. Step 5: Solve for x
    x = 3,629,384.53/2,645.98
  6. Step 6: Final answer
    x = 1,371.66

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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.