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Finding the Fourth Proportional to 2,822.17, 3,893.75 and 1,825.87

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Solution

The fourth proportional to 2,822.17, 3,893.75 and 1,825.87 is: 2,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.17 : 3,893.75 = 1,825.87 : x
  2. Step 2: Convert to fraction form
    2,822.17/3,893.75 = 1,825.87/x
  3. Step 3: Cross multiply
    2,822.17x = 3,893.75 × 1,825.87
  4. Step 4: Simplify right side
    2,822.17x = 7,109,462.45
  5. Step 5: Solve for x
    x = 7,109,462.45/2,822.17
  6. Step 6: Final answer
    x = 2,519.15

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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.