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Finding the Fourth Proportional to 2,712.62, 3,743.43 and 1,470.62

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Solution

The fourth proportional to 2,712.62, 3,743.43 and 1,470.62 is: 2,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.62 : 3,743.43 = 1,470.62 : x
  2. Step 2: Convert to fraction form
    2,712.62/3,743.43 = 1,470.62/x
  3. Step 3: Cross multiply
    2,712.62x = 3,743.43 × 1,470.62
  4. Step 4: Simplify right side
    2,712.62x = 5,505,163.03
  5. Step 5: Solve for x
    x = 5,505,163.03/2,712.62
  6. Step 6: Final answer
    x = 2,029.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.