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Finding the Fourth Proportional to 2,026.38, 3,039.48 and 840.27

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Solution

The fourth proportional to 2,026.38, 3,039.48 and 840.27 is: 1,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.38 : 3,039.48 = 840.27 : x
  2. Step 2: Convert to fraction form
    2,026.38/3,039.48 = 840.27/x
  3. Step 3: Cross multiply
    2,026.38x = 3,039.48 × 840.27
  4. Step 4: Simplify right side
    2,026.38x = 2,553,983.86
  5. Step 5: Solve for x
    x = 2,553,983.86/2,026.38
  6. Step 6: Final answer
    x = 1,260.37

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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.