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Finding the Fourth Proportional to 1,945.06, 2,918.28 and 1,213.79

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Solution

The fourth proportional to 1,945.06, 2,918.28 and 1,213.79 is: 1,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.06 : 2,918.28 = 1,213.79 : x
  2. Step 2: Convert to fraction form
    1,945.06/2,918.28 = 1,213.79/x
  3. Step 3: Cross multiply
    1,945.06x = 2,918.28 × 1,213.79
  4. Step 4: Simplify right side
    1,945.06x = 3,542,162.21
  5. Step 5: Solve for x
    x = 3,542,162.21/1,945.06
  6. Step 6: Final answer
    x = 1,821.10

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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.