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Finding the Fourth Proportional to 4,640.34, 6,960.42 and 1,177.50

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Solution

The fourth proportional to 4,640.34, 6,960.42 and 1,177.50 is: 1,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.34 : 6,960.42 = 1,177.50 : x
  2. Step 2: Convert to fraction form
    4,640.34/6,960.42 = 1,177.50/x
  3. Step 3: Cross multiply
    4,640.34x = 6,960.42 × 1,177.50
  4. Step 4: Simplify right side
    4,640.34x = 8,195,894.55
  5. Step 5: Solve for x
    x = 8,195,894.55/4,640.34
  6. Step 6: Final answer
    x = 1,766.23

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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.