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Finding the Fourth Proportional to 2,989.98, 4,478.49 and 1,892.43

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Solution

The fourth proportional to 2,989.98, 4,478.49 and 1,892.43 is: 2,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.98 : 4,478.49 = 1,892.43 : x
  2. Step 2: Convert to fraction form
    2,989.98/4,478.49 = 1,892.43/x
  3. Step 3: Cross multiply
    2,989.98x = 4,478.49 × 1,892.43
  4. Step 4: Simplify right side
    2,989.98x = 8,475,228.83
  5. Step 5: Solve for x
    x = 8,475,228.83/2,989.98
  6. Step 6: Final answer
    x = 2,834.54

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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.