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Finding the Fourth Proportional to 3,254.21, 4,880.79 and 914.38

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Solution

The fourth proportional to 3,254.21, 4,880.79 and 914.38 is: 1,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.21 : 4,880.79 = 914.38 : x
  2. Step 2: Convert to fraction form
    3,254.21/4,880.79 = 914.38/x
  3. Step 3: Cross multiply
    3,254.21x = 4,880.79 × 914.38
  4. Step 4: Simplify right side
    3,254.21x = 4,462,896.76
  5. Step 5: Solve for x
    x = 4,462,896.76/3,254.21
  6. Step 6: Final answer
    x = 1,371.42

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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.