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Finding the Fourth Proportional to 2,762.28, 4,142.16 and 1,202.22

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Solution

The fourth proportional to 2,762.28, 4,142.16 and 1,202.22 is: 1,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.28 : 4,142.16 = 1,202.22 : x
  2. Step 2: Convert to fraction form
    2,762.28/4,142.16 = 1,202.22/x
  3. Step 3: Cross multiply
    2,762.28x = 4,142.16 × 1,202.22
  4. Step 4: Simplify right side
    2,762.28x = 4,979,787.60
  5. Step 5: Solve for x
    x = 4,979,787.60/2,762.28
  6. Step 6: Final answer
    x = 1,802.78

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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.