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Finding the Fourth Proportional to 2,022.30, 3,027.05 and 1,958.30

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Solution

The fourth proportional to 2,022.30, 3,027.05 and 1,958.30 is: 2,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.30 : 3,027.05 = 1,958.30 : x
  2. Step 2: Convert to fraction form
    2,022.30/3,027.05 = 1,958.30/x
  3. Step 3: Cross multiply
    2,022.30x = 3,027.05 × 1,958.30
  4. Step 4: Simplify right side
    2,022.30x = 5,927,872.02
  5. Step 5: Solve for x
    x = 5,927,872.02/2,022.30
  6. Step 6: Final answer
    x = 2,931.25

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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.