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Finding the Fourth Proportional to 1,855.28, 2,764.26 and 1,828.56

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Solution

The fourth proportional to 1,855.28, 2,764.26 and 1,828.56 is: 2,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.28 : 2,764.26 = 1,828.56 : x
  2. Step 2: Convert to fraction form
    1,855.28/2,764.26 = 1,828.56/x
  3. Step 3: Cross multiply
    1,855.28x = 2,764.26 × 1,828.56
  4. Step 4: Simplify right side
    1,855.28x = 5,054,615.27
  5. Step 5: Solve for x
    x = 5,054,615.27/1,855.28
  6. Step 6: Final answer
    x = 2,724.45

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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.