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Finding the Fourth Proportional to 2,924.50, 4,035.81 and 1,682.50

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Solution

The fourth proportional to 2,924.50, 4,035.81 and 1,682.50 is: 2,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.50 : 4,035.81 = 1,682.50 : x
  2. Step 2: Convert to fraction form
    2,924.50/4,035.81 = 1,682.50/x
  3. Step 3: Cross multiply
    2,924.50x = 4,035.81 × 1,682.50
  4. Step 4: Simplify right side
    2,924.50x = 6,790,250.33
  5. Step 5: Solve for x
    x = 6,790,250.33/2,924.50
  6. Step 6: Final answer
    x = 2,321.85

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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.