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Finding the Fourth Proportional to 2,026.09, 3,038.13 and 855.73

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Solution

The fourth proportional to 2,026.09, 3,038.13 and 855.73 is: 1,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.09 : 3,038.13 = 855.73 : x
  2. Step 2: Convert to fraction form
    2,026.09/3,038.13 = 855.73/x
  3. Step 3: Cross multiply
    2,026.09x = 3,038.13 × 855.73
  4. Step 4: Simplify right side
    2,026.09x = 2,599,818.98
  5. Step 5: Solve for x
    x = 2,599,818.98/2,026.09
  6. Step 6: Final answer
    x = 1,283.17

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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.