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Finding the Fourth Proportional to 2,367.94, 3,548.82 and 979.70

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Solution

The fourth proportional to 2,367.94, 3,548.82 and 979.70 is: 1,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.94 : 3,548.82 = 979.70 : x
  2. Step 2: Convert to fraction form
    2,367.94/3,548.82 = 979.70/x
  3. Step 3: Cross multiply
    2,367.94x = 3,548.82 × 979.70
  4. Step 4: Simplify right side
    2,367.94x = 3,476,778.95
  5. Step 5: Solve for x
    x = 3,476,778.95/2,367.94
  6. Step 6: Final answer
    x = 1,468.27

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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.