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Finding the Fourth Proportional to 3,289.97, 4,935.91 and 1,100.23

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Solution

The fourth proportional to 3,289.97, 4,935.91 and 1,100.23 is: 1,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.97 : 4,935.91 = 1,100.23 : x
  2. Step 2: Convert to fraction form
    3,289.97/4,935.91 = 1,100.23/x
  3. Step 3: Cross multiply
    3,289.97x = 4,935.91 × 1,100.23
  4. Step 4: Simplify right side
    3,289.97x = 5,430,633.51
  5. Step 5: Solve for x
    x = 5,430,633.51/3,289.97
  6. Step 6: Final answer
    x = 1,650.67

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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.