Home / 1,219.14-1,828.26-488.43

Finding the Fourth Proportional to 1,219.14, 1,828.26 and 488.43

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Solution

The fourth proportional to 1,219.14, 1,828.26 and 488.43 is: 732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.14 : 1,828.26 = 488.43 : x
  2. Step 2: Convert to fraction form
    1,219.14/1,828.26 = 488.43/x
  3. Step 3: Cross multiply
    1,219.14x = 1,828.26 × 488.43
  4. Step 4: Simplify right side
    1,219.14x = 892,977.03
  5. Step 5: Solve for x
    x = 892,977.03/1,219.14
  6. Step 6: Final answer
    x = 732.46

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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.