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Finding the Fourth Proportional to 2,164.80, 2,981.46 and 2,000.76

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Solution

The fourth proportional to 2,164.80, 2,981.46 and 2,000.76 is: 2,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.80 : 2,981.46 = 2,000.76 : x
  2. Step 2: Convert to fraction form
    2,164.80/2,981.46 = 2,000.76/x
  3. Step 3: Cross multiply
    2,164.80x = 2,981.46 × 2,000.76
  4. Step 4: Simplify right side
    2,164.80x = 5,965,185.91
  5. Step 5: Solve for x
    x = 5,965,185.91/2,164.80
  6. Step 6: Final answer
    x = 2,755.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.