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Finding the Fourth Proportional to 2,822.76, 3,895.14 and 2,234.76

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Solution

The fourth proportional to 2,822.76, 3,895.14 and 2,234.76 is: 3,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.76 : 3,895.14 = 2,234.76 : x
  2. Step 2: Convert to fraction form
    2,822.76/3,895.14 = 2,234.76/x
  3. Step 3: Cross multiply
    2,822.76x = 3,895.14 × 2,234.76
  4. Step 4: Simplify right side
    2,822.76x = 8,704,703.07
  5. Step 5: Solve for x
    x = 8,704,703.07/2,822.76
  6. Step 6: Final answer
    x = 3,083.76

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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.