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Finding the Fourth Proportional to 3,601.80, 4,970.38 and 2,008.49

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Solution

The fourth proportional to 3,601.80, 4,970.38 and 2,008.49 is: 2,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.80 : 4,970.38 = 2,008.49 : x
  2. Step 2: Convert to fraction form
    3,601.80/4,970.38 = 2,008.49/x
  3. Step 3: Cross multiply
    3,601.80x = 4,970.38 × 2,008.49
  4. Step 4: Simplify right side
    3,601.80x = 9,982,991.06
  5. Step 5: Solve for x
    x = 9,982,991.06/3,601.80
  6. Step 6: Final answer
    x = 2,771.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.