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Finding the Fourth Proportional to 2,055.86, 2,837.14 and 1,171.64

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Solution

The fourth proportional to 2,055.86, 2,837.14 and 1,171.64 is: 1,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.86 : 2,837.14 = 1,171.64 : x
  2. Step 2: Convert to fraction form
    2,055.86/2,837.14 = 1,171.64/x
  3. Step 3: Cross multiply
    2,055.86x = 2,837.14 × 1,171.64
  4. Step 4: Simplify right side
    2,055.86x = 3,324,092.52
  5. Step 5: Solve for x
    x = 3,324,092.52/2,055.86
  6. Step 6: Final answer
    x = 1,616.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.