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Finding the Fourth Proportional to 2,678.58, 3,694.56 and 1,921.68

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Solution

The fourth proportional to 2,678.58, 3,694.56 and 1,921.68 is: 2,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.58 : 3,694.56 = 1,921.68 : x
  2. Step 2: Convert to fraction form
    2,678.58/3,694.56 = 1,921.68/x
  3. Step 3: Cross multiply
    2,678.58x = 3,694.56 × 1,921.68
  4. Step 4: Simplify right side
    2,678.58x = 7,099,762.06
  5. Step 5: Solve for x
    x = 7,099,762.06/2,678.58
  6. Step 6: Final answer
    x = 2,650.57

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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.