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Finding the Fourth Proportional to 1,842.24, 2,764.53 and 672.14

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Solution

The fourth proportional to 1,842.24, 2,764.53 and 672.14 is: 1,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.24 : 2,764.53 = 672.14 : x
  2. Step 2: Convert to fraction form
    1,842.24/2,764.53 = 672.14/x
  3. Step 3: Cross multiply
    1,842.24x = 2,764.53 × 672.14
  4. Step 4: Simplify right side
    1,842.24x = 1,858,137.37
  5. Step 5: Solve for x
    x = 1,858,137.37/1,842.24
  6. Step 6: Final answer
    x = 1,008.63

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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.