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Finding the Fourth Proportional to 2,842.44, 4,262.64 and 1,743.49

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Solution

The fourth proportional to 2,842.44, 4,262.64 and 1,743.49 is: 2,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.44 : 4,262.64 = 1,743.49 : x
  2. Step 2: Convert to fraction form
    2,842.44/4,262.64 = 1,743.49/x
  3. Step 3: Cross multiply
    2,842.44x = 4,262.64 × 1,743.49
  4. Step 4: Simplify right side
    2,842.44x = 7,431,870.21
  5. Step 5: Solve for x
    x = 7,431,870.21/2,842.44
  6. Step 6: Final answer
    x = 2,614.61

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1.5x scale

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.