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Finding the Fourth Proportional to 2,788.94, 4,183.11 and 940.02

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Solution

The fourth proportional to 2,788.94, 4,183.11 and 940.02 is: 1,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.94 : 4,183.11 = 940.02 : x
  2. Step 2: Convert to fraction form
    2,788.94/4,183.11 = 940.02/x
  3. Step 3: Cross multiply
    2,788.94x = 4,183.11 × 940.02
  4. Step 4: Simplify right side
    2,788.94x = 3,932,191.38
  5. Step 5: Solve for x
    x = 3,932,191.38/2,788.94
  6. Step 6: Final answer
    x = 1,409.92

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Why These Related Problems?

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