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Finding the Fourth Proportional to 2,796.77, 4,194.50 and 1,235.92

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Solution

The fourth proportional to 2,796.77, 4,194.50 and 1,235.92 is: 1,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.77 : 4,194.50 = 1,235.92 : x
  2. Step 2: Convert to fraction form
    2,796.77/4,194.50 = 1,235.92/x
  3. Step 3: Cross multiply
    2,796.77x = 4,194.50 × 1,235.92
  4. Step 4: Simplify right side
    2,796.77x = 5,184,052.86
  5. Step 5: Solve for x
    x = 5,184,052.86/2,796.77
  6. Step 6: Final answer
    x = 1,853.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.