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Finding the Fourth Proportional to 2,794.94, 3,857.08 and 1,536.07

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Solution

The fourth proportional to 2,794.94, 3,857.08 and 1,536.07 is: 2,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.94 : 3,857.08 = 1,536.07 : x
  2. Step 2: Convert to fraction form
    2,794.94/3,857.08 = 1,536.07/x
  3. Step 3: Cross multiply
    2,794.94x = 3,857.08 × 1,536.07
  4. Step 4: Simplify right side
    2,794.94x = 5,924,744.88
  5. Step 5: Solve for x
    x = 5,924,744.88/2,794.94
  6. Step 6: Final answer
    x = 2,119.81

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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.