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Finding the Fourth Proportional to 2,000.66, 2,977.23 and 1,922.90

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Solution

The fourth proportional to 2,000.66, 2,977.23 and 1,922.90 is: 2,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.66 : 2,977.23 = 1,922.90 : x
  2. Step 2: Convert to fraction form
    2,000.66/2,977.23 = 1,922.90/x
  3. Step 3: Cross multiply
    2,000.66x = 2,977.23 × 1,922.90
  4. Step 4: Simplify right side
    2,000.66x = 5,724,905.95
  5. Step 5: Solve for x
    x = 5,724,905.95/2,000.66
  6. Step 6: Final answer
    x = 2,861.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.