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Finding the Fourth Proportional to 1,919.23, 2,879.56 and 808.93

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Solution

The fourth proportional to 1,919.23, 2,879.56 and 808.93 is: 1,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.23 : 2,879.56 = 808.93 : x
  2. Step 2: Convert to fraction form
    1,919.23/2,879.56 = 808.93/x
  3. Step 3: Cross multiply
    1,919.23x = 2,879.56 × 808.93
  4. Step 4: Simplify right side
    1,919.23x = 2,329,361.08
  5. Step 5: Solve for x
    x = 2,329,361.08/1,919.23
  6. Step 6: Final answer
    x = 1,213.69

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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.