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Finding the Fourth Proportional to 1,921.84, 2,863.09 and 1,828.96

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Solution

The fourth proportional to 1,921.84, 2,863.09 and 1,828.96 is: 2,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.84 : 2,863.09 = 1,828.96 : x
  2. Step 2: Convert to fraction form
    1,921.84/2,863.09 = 1,828.96/x
  3. Step 3: Cross multiply
    1,921.84x = 2,863.09 × 1,828.96
  4. Step 4: Simplify right side
    1,921.84x = 5,236,477.09
  5. Step 5: Solve for x
    x = 5,236,477.09/1,921.84
  6. Step 6: Final answer
    x = 2,724.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.