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Finding the Fourth Proportional to 2,824.77, 3,895.77 and 2,234.28

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Solution

The fourth proportional to 2,824.77, 3,895.77 and 2,234.28 is: 3,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.77 : 3,895.77 = 2,234.28 : x
  2. Step 2: Convert to fraction form
    2,824.77/3,895.77 = 2,234.28/x
  3. Step 3: Cross multiply
    2,824.77x = 3,895.77 × 2,234.28
  4. Step 4: Simplify right side
    2,824.77x = 8,704,241.00
  5. Step 5: Solve for x
    x = 8,704,241.00/2,824.77
  6. Step 6: Final answer
    x = 3,081.40

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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.