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Finding the Fourth Proportional to 2,976.82, 4,461.99 and 2,000.50

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Solution

The fourth proportional to 2,976.82, 4,461.99 and 2,000.50 is: 2,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.82 : 4,461.99 = 2,000.50 : x
  2. Step 2: Convert to fraction form
    2,976.82/4,461.99 = 2,000.50/x
  3. Step 3: Cross multiply
    2,976.82x = 4,461.99 × 2,000.50
  4. Step 4: Simplify right side
    2,976.82x = 8,926,211.00
  5. Step 5: Solve for x
    x = 8,926,211.00/2,976.82
  6. Step 6: Final answer
    x = 2,998.57

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Why These Related Problems?

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