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Finding the Fourth Proportional to 3,254.75, 4,882.26 and 946.25

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Solution

The fourth proportional to 3,254.75, 4,882.26 and 946.25 is: 1,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.75 : 4,882.26 = 946.25 : x
  2. Step 2: Convert to fraction form
    3,254.75/4,882.26 = 946.25/x
  3. Step 3: Cross multiply
    3,254.75x = 4,882.26 × 946.25
  4. Step 4: Simplify right side
    3,254.75x = 4,619,838.53
  5. Step 5: Solve for x
    x = 4,619,838.53/3,254.75
  6. Step 6: Final answer
    x = 1,419.41

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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.