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Finding the Fourth Proportional to 2,782.97, 3,840.27 and 1,604.12

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Solution

The fourth proportional to 2,782.97, 3,840.27 and 1,604.12 is: 2,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.97 : 3,840.27 = 1,604.12 : x
  2. Step 2: Convert to fraction form
    2,782.97/3,840.27 = 1,604.12/x
  3. Step 3: Cross multiply
    2,782.97x = 3,840.27 × 1,604.12
  4. Step 4: Simplify right side
    2,782.97x = 6,160,253.91
  5. Step 5: Solve for x
    x = 6,160,253.91/2,782.97
  6. Step 6: Final answer
    x = 2,213.55

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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.