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Finding the Fourth Proportional to 3,324.96, 4,590 and 1,927.44

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Solution

The fourth proportional to 3,324.96, 4,590 and 1,927.44 is: 2,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.96 : 4,590 = 1,927.44 : x
  2. Step 2: Convert to fraction form
    3,324.96/4,590 = 1,927.44/x
  3. Step 3: Cross multiply
    3,324.96x = 4,590 × 1,927.44
  4. Step 4: Simplify right side
    3,324.96x = 8,846,949.60
  5. Step 5: Solve for x
    x = 8,846,949.60/3,324.96
  6. Step 6: Final answer
    x = 2,660.77

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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.