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Finding the Fourth Proportional to 2,388.33, 3,584.47 and 1,219.19

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Solution

The fourth proportional to 2,388.33, 3,584.47 and 1,219.19 is: 1,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.33 : 3,584.47 = 1,219.19 : x
  2. Step 2: Convert to fraction form
    2,388.33/3,584.47 = 1,219.19/x
  3. Step 3: Cross multiply
    2,388.33x = 3,584.47 × 1,219.19
  4. Step 4: Simplify right side
    2,388.33x = 4,370,161.54
  5. Step 5: Solve for x
    x = 4,370,161.54/2,388.33
  6. Step 6: Final answer
    x = 1,829.80

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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.