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Finding the Fourth Proportional to 3,154.56, 4,351.52 and 1,828.09

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Solution

The fourth proportional to 3,154.56, 4,351.52 and 1,828.09 is: 2,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.56 : 4,351.52 = 1,828.09 : x
  2. Step 2: Convert to fraction form
    3,154.56/4,351.52 = 1,828.09/x
  3. Step 3: Cross multiply
    3,154.56x = 4,351.52 × 1,828.09
  4. Step 4: Simplify right side
    3,154.56x = 7,954,939.30
  5. Step 5: Solve for x
    x = 7,954,939.30/3,154.56
  6. Step 6: Final answer
    x = 2,521.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.