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Finding the Fourth Proportional to 1,919.12, 2,658.42 and 1,880.24

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Solution

The fourth proportional to 1,919.12, 2,658.42 and 1,880.24 is: 2,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.12 : 2,658.42 = 1,880.24 : x
  2. Step 2: Convert to fraction form
    1,919.12/2,658.42 = 1,880.24/x
  3. Step 3: Cross multiply
    1,919.12x = 2,658.42 × 1,880.24
  4. Step 4: Simplify right side
    1,919.12x = 4,998,467.62
  5. Step 5: Solve for x
    x = 4,998,467.62/1,919.12
  6. Step 6: Final answer
    x = 2,604.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.