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Finding the Fourth Proportional to 3,189.85, 4,785.21 and 1,630.80

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Solution

The fourth proportional to 3,189.85, 4,785.21 and 1,630.80 is: 2,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.85 : 4,785.21 = 1,630.80 : x
  2. Step 2: Convert to fraction form
    3,189.85/4,785.21 = 1,630.80/x
  3. Step 3: Cross multiply
    3,189.85x = 4,785.21 × 1,630.80
  4. Step 4: Simplify right side
    3,189.85x = 7,803,720.47
  5. Step 5: Solve for x
    x = 7,803,720.47/3,189.85
  6. Step 6: Final answer
    x = 2,446.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.