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Finding the Fourth Proportional to 1,919.13, 2,879.10 and 620.70

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Solution

The fourth proportional to 1,919.13, 2,879.10 and 620.70 is: 931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.13 : 2,879.10 = 620.70 : x
  2. Step 2: Convert to fraction form
    1,919.13/2,879.10 = 620.70/x
  3. Step 3: Cross multiply
    1,919.13x = 2,879.10 × 620.70
  4. Step 4: Simplify right side
    1,919.13x = 1,787,057.37
  5. Step 5: Solve for x
    x = 1,787,057.37/1,919.13
  6. Step 6: Final answer
    x = 931.18

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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.