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Finding the Fourth Proportional to 2,111.93, 3,168.60 and 1,189.29

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Solution

The fourth proportional to 2,111.93, 3,168.60 and 1,189.29 is: 1,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.93 : 3,168.60 = 1,189.29 : x
  2. Step 2: Convert to fraction form
    2,111.93/3,168.60 = 1,189.29/x
  3. Step 3: Cross multiply
    2,111.93x = 3,168.60 × 1,189.29
  4. Step 4: Simplify right side
    2,111.93x = 3,768,384.29
  5. Step 5: Solve for x
    x = 3,768,384.29/2,111.93
  6. Step 6: Final answer
    x = 1,784.33

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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.