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Finding the Fourth Proportional to 2,894.86, 3,992.92 and 1,846.45

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Solution

The fourth proportional to 2,894.86, 3,992.92 and 1,846.45 is: 2,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.86 : 3,992.92 = 1,846.45 : x
  2. Step 2: Convert to fraction form
    2,894.86/3,992.92 = 1,846.45/x
  3. Step 3: Cross multiply
    2,894.86x = 3,992.92 × 1,846.45
  4. Step 4: Simplify right side
    2,894.86x = 7,372,727.13
  5. Step 5: Solve for x
    x = 7,372,727.13/2,894.86
  6. Step 6: Final answer
    x = 2,546.83

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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.