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Finding the Fourth Proportional to 2,055.71, 2,855.89 and 2,036.49

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Solution

The fourth proportional to 2,055.71, 2,855.89 and 2,036.49 is: 2,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.71 : 2,855.89 = 2,036.49 : x
  2. Step 2: Convert to fraction form
    2,055.71/2,855.89 = 2,036.49/x
  3. Step 3: Cross multiply
    2,055.71x = 2,855.89 × 2,036.49
  4. Step 4: Simplify right side
    2,055.71x = 5,815,991.43
  5. Step 5: Solve for x
    x = 5,815,991.43/2,055.71
  6. Step 6: Final answer
    x = 2,829.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.