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Finding the Fourth Proportional to 1,833.76, 2,751.36 and 1,682.56

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Solution

The fourth proportional to 1,833.76, 2,751.36 and 1,682.56 is: 2,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.76 : 2,751.36 = 1,682.56 : x
  2. Step 2: Convert to fraction form
    1,833.76/2,751.36 = 1,682.56/x
  3. Step 3: Cross multiply
    1,833.76x = 2,751.36 × 1,682.56
  4. Step 4: Simplify right side
    1,833.76x = 4,629,328.28
  5. Step 5: Solve for x
    x = 4,629,328.28/1,833.76
  6. Step 6: Final answer
    x = 2,524.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.