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Finding the Fourth Proportional to 2,760.98, 3,809.52 and 2,015.34

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Solution

The fourth proportional to 2,760.98, 3,809.52 and 2,015.34 is: 2,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.98 : 3,809.52 = 2,015.34 : x
  2. Step 2: Convert to fraction form
    2,760.98/3,809.52 = 2,015.34/x
  3. Step 3: Cross multiply
    2,760.98x = 3,809.52 × 2,015.34
  4. Step 4: Simplify right side
    2,760.98x = 7,677,478.04
  5. Step 5: Solve for x
    x = 7,677,478.04/2,760.98
  6. Step 6: Final answer
    x = 2,780.71

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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.