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Finding the Fourth Proportional to 4,193.56, 6,290.95 and 2,000.49

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Solution

The fourth proportional to 4,193.56, 6,290.95 and 2,000.49 is: 3,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.56 : 6,290.95 = 2,000.49 : x
  2. Step 2: Convert to fraction form
    4,193.56/6,290.95 = 2,000.49/x
  3. Step 3: Cross multiply
    4,193.56x = 6,290.95 × 2,000.49
  4. Step 4: Simplify right side
    4,193.56x = 12,584,982.57
  5. Step 5: Solve for x
    x = 12,584,982.57/4,193.56
  6. Step 6: Final answer
    x = 3,001.03

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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.