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Finding the Fourth Proportional to 3,218.28, 4,824.22 and 1,828.74

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Solution

The fourth proportional to 3,218.28, 4,824.22 and 1,828.74 is: 2,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.28 : 4,824.22 = 1,828.74 : x
  2. Step 2: Convert to fraction form
    3,218.28/4,824.22 = 1,828.74/x
  3. Step 3: Cross multiply
    3,218.28x = 4,824.22 × 1,828.74
  4. Step 4: Simplify right side
    3,218.28x = 8,822,244.08
  5. Step 5: Solve for x
    x = 8,822,244.08/3,218.28
  6. Step 6: Final answer
    x = 2,741.29

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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.