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Finding the Fourth Proportional to 2,885, 3,983.22 and 1,782.92

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Solution

The fourth proportional to 2,885, 3,983.22 and 1,782.92 is: 2,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885 : 3,983.22 = 1,782.92 : x
  2. Step 2: Convert to fraction form
    2,885/3,983.22 = 1,782.92/x
  3. Step 3: Cross multiply
    2,885x = 3,983.22 × 1,782.92
  4. Step 4: Simplify right side
    2,885x = 7,101,762.60
  5. Step 5: Solve for x
    x = 7,101,762.60/2,885
  6. Step 6: Final answer
    x = 2,461.62

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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.