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Finding the Fourth Proportional to 2,698.33, 4,047.34 and 942.79

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Solution

The fourth proportional to 2,698.33, 4,047.34 and 942.79 is: 1,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.33 : 4,047.34 = 942.79 : x
  2. Step 2: Convert to fraction form
    2,698.33/4,047.34 = 942.79/x
  3. Step 3: Cross multiply
    2,698.33x = 4,047.34 × 942.79
  4. Step 4: Simplify right side
    2,698.33x = 3,815,791.68
  5. Step 5: Solve for x
    x = 3,815,791.68/2,698.33
  6. Step 6: Final answer
    x = 1,414.13

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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.