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Finding the Fourth Proportional to 3,226.84, 4,838.64 and 1,496.68

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Solution

The fourth proportional to 3,226.84, 4,838.64 and 1,496.68 is: 2,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.84 : 4,838.64 = 1,496.68 : x
  2. Step 2: Convert to fraction form
    3,226.84/4,838.64 = 1,496.68/x
  3. Step 3: Cross multiply
    3,226.84x = 4,838.64 × 1,496.68
  4. Step 4: Simplify right side
    3,226.84x = 7,241,895.72
  5. Step 5: Solve for x
    x = 7,241,895.72/3,226.84
  6. Step 6: Final answer
    x = 2,244.27

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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.