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Finding the Fourth Proportional to 2,823.75, 3,896.91 and 1,645.47

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Solution

The fourth proportional to 2,823.75, 3,896.91 and 1,645.47 is: 2,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.75 : 3,896.91 = 1,645.47 : x
  2. Step 2: Convert to fraction form
    2,823.75/3,896.91 = 1,645.47/x
  3. Step 3: Cross multiply
    2,823.75x = 3,896.91 × 1,645.47
  4. Step 4: Simplify right side
    2,823.75x = 6,412,248.50
  5. Step 5: Solve for x
    x = 6,412,248.50/2,823.75
  6. Step 6: Final answer
    x = 2,270.83

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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.