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Finding the Fourth Proportional to 2,796.06, 4,194.70 and 947.04

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Solution

The fourth proportional to 2,796.06, 4,194.70 and 947.04 is: 1,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.06 : 4,194.70 = 947.04 : x
  2. Step 2: Convert to fraction form
    2,796.06/4,194.70 = 947.04/x
  3. Step 3: Cross multiply
    2,796.06x = 4,194.70 × 947.04
  4. Step 4: Simplify right side
    2,796.06x = 3,972,548.69
  5. Step 5: Solve for x
    x = 3,972,548.69/2,796.06
  6. Step 6: Final answer
    x = 1,420.77

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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.