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Finding the Fourth Proportional to 2,794.68, 3,857.76 and 1,800

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Solution

The fourth proportional to 2,794.68, 3,857.76 and 1,800 is: 2,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.68 : 3,857.76 = 1,800 : x
  2. Step 2: Convert to fraction form
    2,794.68/3,857.76 = 1,800/x
  3. Step 3: Cross multiply
    2,794.68x = 3,857.76 × 1,800
  4. Step 4: Simplify right side
    2,794.68x = 6,943,968
  5. Step 5: Solve for x
    x = 6,943,968/2,794.68
  6. Step 6: Final answer
    x = 2,484.71

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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.