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Finding the Fourth Proportional to 2,842.18, 3,925.49 and 1,896.33

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Solution

The fourth proportional to 2,842.18, 3,925.49 and 1,896.33 is: 2,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.18 : 3,925.49 = 1,896.33 : x
  2. Step 2: Convert to fraction form
    2,842.18/3,925.49 = 1,896.33/x
  3. Step 3: Cross multiply
    2,842.18x = 3,925.49 × 1,896.33
  4. Step 4: Simplify right side
    2,842.18x = 7,444,014.97
  5. Step 5: Solve for x
    x = 7,444,014.97/2,842.18
  6. Step 6: Final answer
    x = 2,619.12

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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.