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Finding the Fourth Proportional to 4,273.80, 6,409.80 and 1,808.70

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Solution

The fourth proportional to 4,273.80, 6,409.80 and 1,808.70 is: 2,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.80 : 6,409.80 = 1,808.70 : x
  2. Step 2: Convert to fraction form
    4,273.80/6,409.80 = 1,808.70/x
  3. Step 3: Cross multiply
    4,273.80x = 6,409.80 × 1,808.70
  4. Step 4: Simplify right side
    4,273.80x = 11,593,405.26
  5. Step 5: Solve for x
    x = 11,593,405.26/4,273.80
  6. Step 6: Final answer
    x = 2,712.67

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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.