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Finding the Fourth Proportional to 2,034.06, 3,051.28 and 938.26

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Solution

The fourth proportional to 2,034.06, 3,051.28 and 938.26 is: 1,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.06 : 3,051.28 = 938.26 : x
  2. Step 2: Convert to fraction form
    2,034.06/3,051.28 = 938.26/x
  3. Step 3: Cross multiply
    2,034.06x = 3,051.28 × 938.26
  4. Step 4: Simplify right side
    2,034.06x = 2,862,893.97
  5. Step 5: Solve for x
    x = 2,862,893.97/2,034.06
  6. Step 6: Final answer
    x = 1,407.48

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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.