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Finding the Fourth Proportional to 2,762.28, 3,808.20 and 1,974.96

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Solution

The fourth proportional to 2,762.28, 3,808.20 and 1,974.96 is: 2,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.28 : 3,808.20 = 1,974.96 : x
  2. Step 2: Convert to fraction form
    2,762.28/3,808.20 = 1,974.96/x
  3. Step 3: Cross multiply
    2,762.28x = 3,808.20 × 1,974.96
  4. Step 4: Simplify right side
    2,762.28x = 7,521,042.67
  5. Step 5: Solve for x
    x = 7,521,042.67/2,762.28
  6. Step 6: Final answer
    x = 2,722.77

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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.