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Finding the Fourth Proportional to 2,285.54, 3,423.51 and 1,940.42

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Solution

The fourth proportional to 2,285.54, 3,423.51 and 1,940.42 is: 2,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.54 : 3,423.51 = 1,940.42 : x
  2. Step 2: Convert to fraction form
    2,285.54/3,423.51 = 1,940.42/x
  3. Step 3: Cross multiply
    2,285.54x = 3,423.51 × 1,940.42
  4. Step 4: Simplify right side
    2,285.54x = 6,643,047.27
  5. Step 5: Solve for x
    x = 6,643,047.27/2,285.54
  6. Step 6: Final answer
    x = 2,906.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.