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Finding the Fourth Proportional to 1,205.40, 1,812.16 and 1,027.20

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Solution

The fourth proportional to 1,205.40, 1,812.16 and 1,027.20 is: 1,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.40 : 1,812.16 = 1,027.20 : x
  2. Step 2: Convert to fraction form
    1,205.40/1,812.16 = 1,027.20/x
  3. Step 3: Cross multiply
    1,205.40x = 1,812.16 × 1,027.20
  4. Step 4: Simplify right side
    1,205.40x = 1,861,450.75
  5. Step 5: Solve for x
    x = 1,861,450.75/1,205.40
  6. Step 6: Final answer
    x = 1,544.26

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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.