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Finding the Fourth Proportional to 2,683.85, 3,705.44 and 1,844.28

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Solution

The fourth proportional to 2,683.85, 3,705.44 and 1,844.28 is: 2,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.85 : 3,705.44 = 1,844.28 : x
  2. Step 2: Convert to fraction form
    2,683.85/3,705.44 = 1,844.28/x
  3. Step 3: Cross multiply
    2,683.85x = 3,705.44 × 1,844.28
  4. Step 4: Simplify right side
    2,683.85x = 6,833,859.66
  5. Step 5: Solve for x
    x = 6,833,859.66/2,683.85
  6. Step 6: Final answer
    x = 2,546.29

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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.