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Finding the Fourth Proportional to 2,645.34, 3,968.49 and 914.46

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Solution

The fourth proportional to 2,645.34, 3,968.49 and 914.46 is: 1,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.34 : 3,968.49 = 914.46 : x
  2. Step 2: Convert to fraction form
    2,645.34/3,968.49 = 914.46/x
  3. Step 3: Cross multiply
    2,645.34x = 3,968.49 × 914.46
  4. Step 4: Simplify right side
    2,645.34x = 3,629,025.37
  5. Step 5: Solve for x
    x = 3,629,025.37/2,645.34
  6. Step 6: Final answer
    x = 1,371.86

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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.