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Finding the Fourth Proportional to 2,052.92, 2,826.42 and 1,805.06

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Solution

The fourth proportional to 2,052.92, 2,826.42 and 1,805.06 is: 2,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.92 : 2,826.42 = 1,805.06 : x
  2. Step 2: Convert to fraction form
    2,052.92/2,826.42 = 1,805.06/x
  3. Step 3: Cross multiply
    2,052.92x = 2,826.42 × 1,805.06
  4. Step 4: Simplify right side
    2,052.92x = 5,101,857.69
  5. Step 5: Solve for x
    x = 5,101,857.69/2,052.92
  6. Step 6: Final answer
    x = 2,485.17

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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.