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Finding the Fourth Proportional to 2,111.63, 3,164.56 and 1,138.19

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Solution

The fourth proportional to 2,111.63, 3,164.56 and 1,138.19 is: 1,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.63 : 3,164.56 = 1,138.19 : x
  2. Step 2: Convert to fraction form
    2,111.63/3,164.56 = 1,138.19/x
  3. Step 3: Cross multiply
    2,111.63x = 3,164.56 × 1,138.19
  4. Step 4: Simplify right side
    2,111.63x = 3,601,851.88
  5. Step 5: Solve for x
    x = 3,601,851.88/2,111.63
  6. Step 6: Final answer
    x = 1,705.73

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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.