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Finding the Fourth Proportional to 2,678.02, 4,010.97 and 1,292.37

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Solution

The fourth proportional to 2,678.02, 4,010.97 and 1,292.37 is: 1,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.02 : 4,010.97 = 1,292.37 : x
  2. Step 2: Convert to fraction form
    2,678.02/4,010.97 = 1,292.37/x
  3. Step 3: Cross multiply
    2,678.02x = 4,010.97 × 1,292.37
  4. Step 4: Simplify right side
    2,678.02x = 5,183,657.30
  5. Step 5: Solve for x
    x = 5,183,657.30/2,678.02
  6. Step 6: Final answer
    x = 1,935.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.