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Finding the Fourth Proportional to 2,796.23, 4,192.63 and 947.18

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Solution

The fourth proportional to 2,796.23, 4,192.63 and 947.18 is: 1,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.23 : 4,192.63 = 947.18 : x
  2. Step 2: Convert to fraction form
    2,796.23/4,192.63 = 947.18/x
  3. Step 3: Cross multiply
    2,796.23x = 4,192.63 × 947.18
  4. Step 4: Simplify right side
    2,796.23x = 3,971,183.40
  5. Step 5: Solve for x
    x = 3,971,183.40/2,796.23
  6. Step 6: Final answer
    x = 1,420.19

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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.