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Finding the Fourth Proportional to 2,744.64, 4,117.64 and 796.86

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Solution

The fourth proportional to 2,744.64, 4,117.64 and 796.86 is: 1,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.64 : 4,117.64 = 796.86 : x
  2. Step 2: Convert to fraction form
    2,744.64/4,117.64 = 796.86/x
  3. Step 3: Cross multiply
    2,744.64x = 4,117.64 × 796.86
  4. Step 4: Simplify right side
    2,744.64x = 3,281,178.63
  5. Step 5: Solve for x
    x = 3,281,178.63/2,744.64
  6. Step 6: Final answer
    x = 1,195.49

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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.