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Finding the Fourth Proportional to 2,195.64, 3,291.30 and 1,219.73

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Solution

The fourth proportional to 2,195.64, 3,291.30 and 1,219.73 is: 1,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.64 : 3,291.30 = 1,219.73 : x
  2. Step 2: Convert to fraction form
    2,195.64/3,291.30 = 1,219.73/x
  3. Step 3: Cross multiply
    2,195.64x = 3,291.30 × 1,219.73
  4. Step 4: Simplify right side
    2,195.64x = 4,014,480.89
  5. Step 5: Solve for x
    x = 4,014,480.89/2,195.64
  6. Step 6: Final answer
    x = 1,828.39

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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.