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Finding the Fourth Proportional to 3,106.75, 4,658.76 and 1,645.57

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Solution

The fourth proportional to 3,106.75, 4,658.76 and 1,645.57 is: 2,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.75 : 4,658.76 = 1,645.57 : x
  2. Step 2: Convert to fraction form
    3,106.75/4,658.76 = 1,645.57/x
  3. Step 3: Cross multiply
    3,106.75x = 4,658.76 × 1,645.57
  4. Step 4: Simplify right side
    3,106.75x = 7,666,315.69
  5. Step 5: Solve for x
    x = 7,666,315.69/3,106.75
  6. Step 6: Final answer
    x = 2,467.63

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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.