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Finding the Fourth Proportional to 2,796.80, 4,195.83 and 947.81

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Solution

The fourth proportional to 2,796.80, 4,195.83 and 947.81 is: 1,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.80 : 4,195.83 = 947.81 : x
  2. Step 2: Convert to fraction form
    2,796.80/4,195.83 = 947.81/x
  3. Step 3: Cross multiply
    2,796.80x = 4,195.83 × 947.81
  4. Step 4: Simplify right side
    2,796.80x = 3,976,849.63
  5. Step 5: Solve for x
    x = 3,976,849.63/2,796.80
  6. Step 6: Final answer
    x = 1,421.93

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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.