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Finding the Fourth Proportional to 3,144.46, 4,714.84 and 1,196.80

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Solution

The fourth proportional to 3,144.46, 4,714.84 and 1,196.80 is: 1,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.46 : 4,714.84 = 1,196.80 : x
  2. Step 2: Convert to fraction form
    3,144.46/4,714.84 = 1,196.80/x
  3. Step 3: Cross multiply
    3,144.46x = 4,714.84 × 1,196.80
  4. Step 4: Simplify right side
    3,144.46x = 5,642,720.51
  5. Step 5: Solve for x
    x = 5,642,720.51/3,144.46
  6. Step 6: Final answer
    x = 1,794.50

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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.