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Finding the Fourth Proportional to 2,783.72, 3,840.59 and 1,664.85

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Solution

The fourth proportional to 2,783.72, 3,840.59 and 1,664.85 is: 2,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.72 : 3,840.59 = 1,664.85 : x
  2. Step 2: Convert to fraction form
    2,783.72/3,840.59 = 1,664.85/x
  3. Step 3: Cross multiply
    2,783.72x = 3,840.59 × 1,664.85
  4. Step 4: Simplify right side
    2,783.72x = 6,393,997.94
  5. Step 5: Solve for x
    x = 6,393,997.94/2,783.72
  6. Step 6: Final answer
    x = 2,296.93

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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.