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Finding the Fourth Proportional to 3,224.42, 4,838.26 and 1,494.26

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Solution

The fourth proportional to 3,224.42, 4,838.26 and 1,494.26 is: 2,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.42 : 4,838.26 = 1,494.26 : x
  2. Step 2: Convert to fraction form
    3,224.42/4,838.26 = 1,494.26/x
  3. Step 3: Cross multiply
    3,224.42x = 4,838.26 × 1,494.26
  4. Step 4: Simplify right side
    3,224.42x = 7,229,618.39
  5. Step 5: Solve for x
    x = 7,229,618.39/3,224.42
  6. Step 6: Final answer
    x = 2,242.15

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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.