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Finding the Fourth Proportional to 2,825.64, 3,899.40 and 1,583.64

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Solution

The fourth proportional to 2,825.64, 3,899.40 and 1,583.64 is: 2,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.64 : 3,899.40 = 1,583.64 : x
  2. Step 2: Convert to fraction form
    2,825.64/3,899.40 = 1,583.64/x
  3. Step 3: Cross multiply
    2,825.64x = 3,899.40 × 1,583.64
  4. Step 4: Simplify right side
    2,825.64x = 6,175,245.82
  5. Step 5: Solve for x
    x = 6,175,245.82/2,825.64
  6. Step 6: Final answer
    x = 2,185.43

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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.