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Finding the Fourth Proportional to 1,945.94, 2,919.36 and 559.29

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Solution

The fourth proportional to 1,945.94, 2,919.36 and 559.29 is: 839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.94 : 2,919.36 = 559.29 : x
  2. Step 2: Convert to fraction form
    1,945.94/2,919.36 = 559.29/x
  3. Step 3: Cross multiply
    1,945.94x = 2,919.36 × 559.29
  4. Step 4: Simplify right side
    1,945.94x = 1,632,762.33
  5. Step 5: Solve for x
    x = 1,632,762.33/1,945.94
  6. Step 6: Final answer
    x = 839.06

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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.