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Finding the Fourth Proportional to 2,747.94, 3,790.85 and 1,803.35

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Solution

The fourth proportional to 2,747.94, 3,790.85 and 1,803.35 is: 2,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.94 : 3,790.85 = 1,803.35 : x
  2. Step 2: Convert to fraction form
    2,747.94/3,790.85 = 1,803.35/x
  3. Step 3: Cross multiply
    2,747.94x = 3,790.85 × 1,803.35
  4. Step 4: Simplify right side
    2,747.94x = 6,836,201.38
  5. Step 5: Solve for x
    x = 6,836,201.38/2,747.94
  6. Step 6: Final answer
    x = 2,487.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.