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Finding the Fourth Proportional to 2,806.40, 4,203.20 and 1,769.60

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Solution

The fourth proportional to 2,806.40, 4,203.20 and 1,769.60 is: 2,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.40 : 4,203.20 = 1,769.60 : x
  2. Step 2: Convert to fraction form
    2,806.40/4,203.20 = 1,769.60/x
  3. Step 3: Cross multiply
    2,806.40x = 4,203.20 × 1,769.60
  4. Step 4: Simplify right side
    2,806.40x = 7,437,982.72
  5. Step 5: Solve for x
    x = 7,437,982.72/2,806.40
  6. Step 6: Final answer
    x = 2,650.36

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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.