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Finding the Fourth Proportional to 3,177.38, 4,763.19 and 1,806.50

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Solution

The fourth proportional to 3,177.38, 4,763.19 and 1,806.50 is: 2,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.38 : 4,763.19 = 1,806.50 : x
  2. Step 2: Convert to fraction form
    3,177.38/4,763.19 = 1,806.50/x
  3. Step 3: Cross multiply
    3,177.38x = 4,763.19 × 1,806.50
  4. Step 4: Simplify right side
    3,177.38x = 8,604,702.74
  5. Step 5: Solve for x
    x = 8,604,702.74/3,177.38
  6. Step 6: Final answer
    x = 2,708.11

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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.