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Finding the Fourth Proportional to 2,055.77, 2,837.03 and 1,171.61

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Solution

The fourth proportional to 2,055.77, 2,837.03 and 1,171.61 is: 1,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.77 : 2,837.03 = 1,171.61 : x
  2. Step 2: Convert to fraction form
    2,055.77/2,837.03 = 1,171.61/x
  3. Step 3: Cross multiply
    2,055.77x = 2,837.03 × 1,171.61
  4. Step 4: Simplify right side
    2,055.77x = 3,323,872.68
  5. Step 5: Solve for x
    x = 3,323,872.68/2,055.77
  6. Step 6: Final answer
    x = 1,616.85

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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.