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Finding the Fourth Proportional to 2,055.95, 2,836.49 and 1,171.53

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Solution

The fourth proportional to 2,055.95, 2,836.49 and 1,171.53 is: 1,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.95 : 2,836.49 = 1,171.53 : x
  2. Step 2: Convert to fraction form
    2,055.95/2,836.49 = 1,171.53/x
  3. Step 3: Cross multiply
    2,055.95x = 2,836.49 × 1,171.53
  4. Step 4: Simplify right side
    2,055.95x = 3,323,027.27
  5. Step 5: Solve for x
    x = 3,323,027.27/2,055.95
  6. Step 6: Final answer
    x = 1,616.30

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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.