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Finding the Fourth Proportional to 2,983.80, 4,477.23 and 1,230.15

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Solution

The fourth proportional to 2,983.80, 4,477.23 and 1,230.15 is: 1,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.80 : 4,477.23 = 1,230.15 : x
  2. Step 2: Convert to fraction form
    2,983.80/4,477.23 = 1,230.15/x
  3. Step 3: Cross multiply
    2,983.80x = 4,477.23 × 1,230.15
  4. Step 4: Simplify right side
    2,983.80x = 5,507,664.48
  5. Step 5: Solve for x
    x = 5,507,664.48/2,983.80
  6. Step 6: Final answer
    x = 1,845.86

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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.