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Finding the Fourth Proportional to 2,238, 3,357.18 and 699

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Solution

The fourth proportional to 2,238, 3,357.18 and 699 is: 1,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238 : 3,357.18 = 699 : x
  2. Step 2: Convert to fraction form
    2,238/3,357.18 = 699/x
  3. Step 3: Cross multiply
    2,238x = 3,357.18 × 699
  4. Step 4: Simplify right side
    2,238x = 2,346,668.82
  5. Step 5: Solve for x
    x = 2,346,668.82/2,238
  6. Step 6: Final answer
    x = 1,048.56

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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.