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Finding the Fourth Proportional to 2,178.46, 3,267.93 and 792.45

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Solution

The fourth proportional to 2,178.46, 3,267.93 and 792.45 is: 1,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.46 : 3,267.93 = 792.45 : x
  2. Step 2: Convert to fraction form
    2,178.46/3,267.93 = 792.45/x
  3. Step 3: Cross multiply
    2,178.46x = 3,267.93 × 792.45
  4. Step 4: Simplify right side
    2,178.46x = 2,589,654.79
  5. Step 5: Solve for x
    x = 2,589,654.79/2,178.46
  6. Step 6: Final answer
    x = 1,188.76

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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.