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Finding the Fourth Proportional to 2,678.37, 3,693.36 and 1,935.87

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Solution

The fourth proportional to 2,678.37, 3,693.36 and 1,935.87 is: 2,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.37 : 3,693.36 = 1,935.87 : x
  2. Step 2: Convert to fraction form
    2,678.37/3,693.36 = 1,935.87/x
  3. Step 3: Cross multiply
    2,678.37x = 3,693.36 × 1,935.87
  4. Step 4: Simplify right side
    2,678.37x = 7,149,864.82
  5. Step 5: Solve for x
    x = 7,149,864.82/2,678.37
  6. Step 6: Final answer
    x = 2,669.48

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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.