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Finding the Fourth Proportional to 2,894.84, 3,992.12 and 1,900.96

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Solution

The fourth proportional to 2,894.84, 3,992.12 and 1,900.96 is: 2,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.84 : 3,992.12 = 1,900.96 : x
  2. Step 2: Convert to fraction form
    2,894.84/3,992.12 = 1,900.96/x
  3. Step 3: Cross multiply
    2,894.84x = 3,992.12 × 1,900.96
  4. Step 4: Simplify right side
    2,894.84x = 7,588,860.44
  5. Step 5: Solve for x
    x = 7,588,860.44/2,894.84
  6. Step 6: Final answer
    x = 2,621.51

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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.