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Finding the Fourth Proportional to 2,774.23, 3,828.54 and 1,515.41

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Solution

The fourth proportional to 2,774.23, 3,828.54 and 1,515.41 is: 2,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.23 : 3,828.54 = 1,515.41 : x
  2. Step 2: Convert to fraction form
    2,774.23/3,828.54 = 1,515.41/x
  3. Step 3: Cross multiply
    2,774.23x = 3,828.54 × 1,515.41
  4. Step 4: Simplify right side
    2,774.23x = 5,801,786.36
  5. Step 5: Solve for x
    x = 5,801,786.36/2,774.23
  6. Step 6: Final answer
    x = 2,091.31

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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.