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Finding the Fourth Proportional to 4,961.56, 7,440.90 and 2,000

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Solution

The fourth proportional to 4,961.56, 7,440.90 and 2,000 is: 2,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.56 : 7,440.90 = 2,000 : x
  2. Step 2: Convert to fraction form
    4,961.56/7,440.90 = 2,000/x
  3. Step 3: Cross multiply
    4,961.56x = 7,440.90 × 2,000
  4. Step 4: Simplify right side
    4,961.56x = 14,881,800
  5. Step 5: Solve for x
    x = 14,881,800/4,961.56
  6. Step 6: Final answer
    x = 2,999.42

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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.