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Finding the Fourth Proportional to 2,894.07, 3,992.94 and 1,634.97

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Solution

The fourth proportional to 2,894.07, 3,992.94 and 1,634.97 is: 2,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.07 : 3,992.94 = 1,634.97 : x
  2. Step 2: Convert to fraction form
    2,894.07/3,992.94 = 1,634.97/x
  3. Step 3: Cross multiply
    2,894.07x = 3,992.94 × 1,634.97
  4. Step 4: Simplify right side
    2,894.07x = 6,528,337.11
  5. Step 5: Solve for x
    x = 6,528,337.11/2,894.07
  6. Step 6: Final answer
    x = 2,255.76

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