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Finding the Fourth Proportional to 2,184.57, 3,277.97 and 1,260.97

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Solution

The fourth proportional to 2,184.57, 3,277.97 and 1,260.97 is: 1,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.57 : 3,277.97 = 1,260.97 : x
  2. Step 2: Convert to fraction form
    2,184.57/3,277.97 = 1,260.97/x
  3. Step 3: Cross multiply
    2,184.57x = 3,277.97 × 1,260.97
  4. Step 4: Simplify right side
    2,184.57x = 4,133,412.06
  5. Step 5: Solve for x
    x = 4,133,412.06/2,184.57
  6. Step 6: Final answer
    x = 1,892.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.