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Finding the Fourth Proportional to 2,688.85, 3,707.10 and 1,942.99

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Solution

The fourth proportional to 2,688.85, 3,707.10 and 1,942.99 is: 2,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.85 : 3,707.10 = 1,942.99 : x
  2. Step 2: Convert to fraction form
    2,688.85/3,707.10 = 1,942.99/x
  3. Step 3: Cross multiply
    2,688.85x = 3,707.10 × 1,942.99
  4. Step 4: Simplify right side
    2,688.85x = 7,202,858.23
  5. Step 5: Solve for x
    x = 7,202,858.23/2,688.85
  6. Step 6: Final answer
    x = 2,678.79

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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.