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Finding the Fourth Proportional to 2,796.71, 4,195.07 and 848.93

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Solution

The fourth proportional to 2,796.71, 4,195.07 and 848.93 is: 1,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.71 : 4,195.07 = 848.93 : x
  2. Step 2: Convert to fraction form
    2,796.71/4,195.07 = 848.93/x
  3. Step 3: Cross multiply
    2,796.71x = 4,195.07 × 848.93
  4. Step 4: Simplify right side
    2,796.71x = 3,561,295.56
  5. Step 5: Solve for x
    x = 3,561,295.56/2,796.71
  6. Step 6: Final answer
    x = 1,273.39

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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.