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Finding the Fourth Proportional to 2,825.56, 3,899.28 and 1,583.56

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Solution

The fourth proportional to 2,825.56, 3,899.28 and 1,583.56 is: 2,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.56 : 3,899.28 = 1,583.56 : x
  2. Step 2: Convert to fraction form
    2,825.56/3,899.28 = 1,583.56/x
  3. Step 3: Cross multiply
    2,825.56x = 3,899.28 × 1,583.56
  4. Step 4: Simplify right side
    2,825.56x = 6,174,757.54
  5. Step 5: Solve for x
    x = 6,174,757.54/2,825.56
  6. Step 6: Final answer
    x = 2,185.32

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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.