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Finding the Fourth Proportional to 2,546.93, 3,819.47 and 2,000.18

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Solution

The fourth proportional to 2,546.93, 3,819.47 and 2,000.18 is: 2,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.93 : 3,819.47 = 2,000.18 : x
  2. Step 2: Convert to fraction form
    2,546.93/3,819.47 = 2,000.18/x
  3. Step 3: Cross multiply
    2,546.93x = 3,819.47 × 2,000.18
  4. Step 4: Simplify right side
    2,546.93x = 7,639,627.50
  5. Step 5: Solve for x
    x = 7,639,627.50/2,546.93
  6. Step 6: Final answer
    x = 2,999.54

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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.