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Finding the Fourth Proportional to 2,823.98, 3,896.97 and 1,645.10

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Solution

The fourth proportional to 2,823.98, 3,896.97 and 1,645.10 is: 2,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.98 : 3,896.97 = 1,645.10 : x
  2. Step 2: Convert to fraction form
    2,823.98/3,896.97 = 1,645.10/x
  3. Step 3: Cross multiply
    2,823.98x = 3,896.97 × 1,645.10
  4. Step 4: Simplify right side
    2,823.98x = 6,410,905.35
  5. Step 5: Solve for x
    x = 6,410,905.35/2,823.98
  6. Step 6: Final answer
    x = 2,270.17

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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.