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Finding the Fourth Proportional to 2,055.82, 2,837.06 and 1,171.63

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Solution

The fourth proportional to 2,055.82, 2,837.06 and 1,171.63 is: 1,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.82 : 2,837.06 = 1,171.63 : x
  2. Step 2: Convert to fraction form
    2,055.82/2,837.06 = 1,171.63/x
  3. Step 3: Cross multiply
    2,055.82x = 2,837.06 × 1,171.63
  4. Step 4: Simplify right side
    2,055.82x = 3,323,984.61
  5. Step 5: Solve for x
    x = 3,323,984.61/2,055.82
  6. Step 6: Final answer
    x = 1,616.87

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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.