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Finding the Fourth Proportional to 2,993.49, 4,495.23 and 1,846.53

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Solution

The fourth proportional to 2,993.49, 4,495.23 and 1,846.53 is: 2,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.49 : 4,495.23 = 1,846.53 : x
  2. Step 2: Convert to fraction form
    2,993.49/4,495.23 = 1,846.53/x
  3. Step 3: Cross multiply
    2,993.49x = 4,495.23 × 1,846.53
  4. Step 4: Simplify right side
    2,993.49x = 8,300,577.05
  5. Step 5: Solve for x
    x = 8,300,577.05/2,993.49
  6. Step 6: Final answer
    x = 2,772.88

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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.