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Finding the Fourth Proportional to 4,164, 6,246.84 and 1,855.50

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Solution

The fourth proportional to 4,164, 6,246.84 and 1,855.50 is: 2,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164 : 6,246.84 = 1,855.50 : x
  2. Step 2: Convert to fraction form
    4,164/6,246.84 = 1,855.50/x
  3. Step 3: Cross multiply
    4,164x = 6,246.84 × 1,855.50
  4. Step 4: Simplify right side
    4,164x = 11,591,011.62
  5. Step 5: Solve for x
    x = 11,591,011.62/4,164
  6. Step 6: Final answer
    x = 2,783.62

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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.