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Finding the Fourth Proportional to 3,144.20, 4,714.25 and 1,270.22

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Solution

The fourth proportional to 3,144.20, 4,714.25 and 1,270.22 is: 1,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.20 : 4,714.25 = 1,270.22 : x
  2. Step 2: Convert to fraction form
    3,144.20/4,714.25 = 1,270.22/x
  3. Step 3: Cross multiply
    3,144.20x = 4,714.25 × 1,270.22
  4. Step 4: Simplify right side
    3,144.20x = 5,988,104.71
  5. Step 5: Solve for x
    x = 5,988,104.71/3,144.20
  6. Step 6: Final answer
    x = 1,904.50

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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.