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Finding the Fourth Proportional to 3,272.25, 4,908.42 and 1,814.25

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Solution

The fourth proportional to 3,272.25, 4,908.42 and 1,814.25 is: 2,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.25 : 4,908.42 = 1,814.25 : x
  2. Step 2: Convert to fraction form
    3,272.25/4,908.42 = 1,814.25/x
  3. Step 3: Cross multiply
    3,272.25x = 4,908.42 × 1,814.25
  4. Step 4: Simplify right side
    3,272.25x = 8,905,100.99
  5. Step 5: Solve for x
    x = 8,905,100.99/3,272.25
  6. Step 6: Final answer
    x = 2,721.40

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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.