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Finding the Fourth Proportional to 2,474.58, 3,709.71 and 936.66

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Solution

The fourth proportional to 2,474.58, 3,709.71 and 936.66 is: 1,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.58 : 3,709.71 = 936.66 : x
  2. Step 2: Convert to fraction form
    2,474.58/3,709.71 = 936.66/x
  3. Step 3: Cross multiply
    2,474.58x = 3,709.71 × 936.66
  4. Step 4: Simplify right side
    2,474.58x = 3,474,736.97
  5. Step 5: Solve for x
    x = 3,474,736.97/2,474.58
  6. Step 6: Final answer
    x = 1,404.17

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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.