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Finding the Fourth Proportional to 2,796.03, 4,194.52 and 947.27

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Solution

The fourth proportional to 2,796.03, 4,194.52 and 947.27 is: 1,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.03 : 4,194.52 = 947.27 : x
  2. Step 2: Convert to fraction form
    2,796.03/4,194.52 = 947.27/x
  3. Step 3: Cross multiply
    2,796.03x = 4,194.52 × 947.27
  4. Step 4: Simplify right side
    2,796.03x = 3,973,351.08
  5. Step 5: Solve for x
    x = 3,973,351.08/2,796.03
  6. Step 6: Final answer
    x = 1,421.07

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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.