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Finding the Fourth Proportional to 2,762.28, 3,812.16 and 2,171.88

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Solution

The fourth proportional to 2,762.28, 3,812.16 and 2,171.88 is: 2,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.28 : 3,812.16 = 2,171.88 : x
  2. Step 2: Convert to fraction form
    2,762.28/3,812.16 = 2,171.88/x
  3. Step 3: Cross multiply
    2,762.28x = 3,812.16 × 2,171.88
  4. Step 4: Simplify right side
    2,762.28x = 8,279,554.06
  5. Step 5: Solve for x
    x = 8,279,554.06/2,762.28
  6. Step 6: Final answer
    x = 2,997.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.