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Finding the Fourth Proportional to 2,072.50, 2,859.41 and 1,176.09

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Solution

The fourth proportional to 2,072.50, 2,859.41 and 1,176.09 is: 1,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.50 : 2,859.41 = 1,176.09 : x
  2. Step 2: Convert to fraction form
    2,072.50/2,859.41 = 1,176.09/x
  3. Step 3: Cross multiply
    2,072.50x = 2,859.41 × 1,176.09
  4. Step 4: Simplify right side
    2,072.50x = 3,362,917.63
  5. Step 5: Solve for x
    x = 3,362,917.63/2,072.50
  6. Step 6: Final answer
    x = 1,622.64

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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.