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Finding the Fourth Proportional to 2,843.18, 3,925 and 2,203.68

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Solution

The fourth proportional to 2,843.18, 3,925 and 2,203.68 is: 3,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.18 : 3,925 = 2,203.68 : x
  2. Step 2: Convert to fraction form
    2,843.18/3,925 = 2,203.68/x
  3. Step 3: Cross multiply
    2,843.18x = 3,925 × 2,203.68
  4. Step 4: Simplify right side
    2,843.18x = 8,649,444
  5. Step 5: Solve for x
    x = 8,649,444/2,843.18
  6. Step 6: Final answer
    x = 3,042.17

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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.