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Finding the Fourth Proportional to 1,828.71, 2,743.11 and 1,096.65

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Solution

The fourth proportional to 1,828.71, 2,743.11 and 1,096.65 is: 1,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.71 : 2,743.11 = 1,096.65 : x
  2. Step 2: Convert to fraction form
    1,828.71/2,743.11 = 1,096.65/x
  3. Step 3: Cross multiply
    1,828.71x = 2,743.11 × 1,096.65
  4. Step 4: Simplify right side
    1,828.71x = 3,008,231.58
  5. Step 5: Solve for x
    x = 3,008,231.58/1,828.71
  6. Step 6: Final answer
    x = 1,645.00

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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.