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Finding the Fourth Proportional to 2,771.98, 3,828.66 and 2,024.74

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Solution

The fourth proportional to 2,771.98, 3,828.66 and 2,024.74 is: 2,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.98 : 3,828.66 = 2,024.74 : x
  2. Step 2: Convert to fraction form
    2,771.98/3,828.66 = 2,024.74/x
  3. Step 3: Cross multiply
    2,771.98x = 3,828.66 × 2,024.74
  4. Step 4: Simplify right side
    2,771.98x = 7,752,041.05
  5. Step 5: Solve for x
    x = 7,752,041.05/2,771.98
  6. Step 6: Final answer
    x = 2,796.57

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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.