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Finding the Fourth Proportional to 2,584.73, 3,892.30 and 1,859.38

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Solution

The fourth proportional to 2,584.73, 3,892.30 and 1,859.38 is: 2,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.73 : 3,892.30 = 1,859.38 : x
  2. Step 2: Convert to fraction form
    2,584.73/3,892.30 = 1,859.38/x
  3. Step 3: Cross multiply
    2,584.73x = 3,892.30 × 1,859.38
  4. Step 4: Simplify right side
    2,584.73x = 7,237,250.39
  5. Step 5: Solve for x
    x = 7,237,250.39/2,584.73
  6. Step 6: Final answer
    x = 2,800.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.