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Finding the Fourth Proportional to 2,687.85, 3,705.72 and 1,941.99

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Solution

The fourth proportional to 2,687.85, 3,705.72 and 1,941.99 is: 2,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.85 : 3,705.72 = 1,941.99 : x
  2. Step 2: Convert to fraction form
    2,687.85/3,705.72 = 1,941.99/x
  3. Step 3: Cross multiply
    2,687.85x = 3,705.72 × 1,941.99
  4. Step 4: Simplify right side
    2,687.85x = 7,196,481.77
  5. Step 5: Solve for x
    x = 7,196,481.77/2,687.85
  6. Step 6: Final answer
    x = 2,677.41

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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.