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Finding the Fourth Proportional to 1,833.99, 2,529 and 1,414.41

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Solution

The fourth proportional to 1,833.99, 2,529 and 1,414.41 is: 1,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.99 : 2,529 = 1,414.41 : x
  2. Step 2: Convert to fraction form
    1,833.99/2,529 = 1,414.41/x
  3. Step 3: Cross multiply
    1,833.99x = 2,529 × 1,414.41
  4. Step 4: Simplify right side
    1,833.99x = 3,577,042.89
  5. Step 5: Solve for x
    x = 3,577,042.89/1,833.99
  6. Step 6: Final answer
    x = 1,950.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.