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Finding the Fourth Proportional to 3,155.27, 4,352.94 and 1,828.49

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Solution

The fourth proportional to 3,155.27, 4,352.94 and 1,828.49 is: 2,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.27 : 4,352.94 = 1,828.49 : x
  2. Step 2: Convert to fraction form
    3,155.27/4,352.94 = 1,828.49/x
  3. Step 3: Cross multiply
    3,155.27x = 4,352.94 × 1,828.49
  4. Step 4: Simplify right side
    3,155.27x = 7,959,285.50
  5. Step 5: Solve for x
    x = 7,959,285.50/3,155.27
  6. Step 6: Final answer
    x = 2,522.54

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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.