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Finding the Fourth Proportional to 4,469.95, 6,706.08 and 1,696.67

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Solution

The fourth proportional to 4,469.95, 6,706.08 and 1,696.67 is: 2,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.95 : 6,706.08 = 1,696.67 : x
  2. Step 2: Convert to fraction form
    4,469.95/6,706.08 = 1,696.67/x
  3. Step 3: Cross multiply
    4,469.95x = 6,706.08 × 1,696.67
  4. Step 4: Simplify right side
    4,469.95x = 11,378,021.52
  5. Step 5: Solve for x
    x = 11,378,021.52/4,469.95
  6. Step 6: Final answer
    x = 2,545.45

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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.