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Finding the Fourth Proportional to 3,213.68, 4,821.17 and 1,364.81

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Solution

The fourth proportional to 3,213.68, 4,821.17 and 1,364.81 is: 2,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.68 : 4,821.17 = 1,364.81 : x
  2. Step 2: Convert to fraction form
    3,213.68/4,821.17 = 1,364.81/x
  3. Step 3: Cross multiply
    3,213.68x = 4,821.17 × 1,364.81
  4. Step 4: Simplify right side
    3,213.68x = 6,579,950.10
  5. Step 5: Solve for x
    x = 6,579,950.10/3,213.68
  6. Step 6: Final answer
    x = 2,047.48

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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.