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Finding the Fourth Proportional to 2,366.82, 3,550.66 and 979.40

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Solution

The fourth proportional to 2,366.82, 3,550.66 and 979.40 is: 1,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.82 : 3,550.66 = 979.40 : x
  2. Step 2: Convert to fraction form
    2,366.82/3,550.66 = 979.40/x
  3. Step 3: Cross multiply
    2,366.82x = 3,550.66 × 979.40
  4. Step 4: Simplify right side
    2,366.82x = 3,477,516.40
  5. Step 5: Solve for x
    x = 3,477,516.40/2,366.82
  6. Step 6: Final answer
    x = 1,469.28

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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.