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Finding the Fourth Proportional to 1,849.91, 2,754.73 and 1,829.46

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Solution

The fourth proportional to 1,849.91, 2,754.73 and 1,829.46 is: 2,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.91 : 2,754.73 = 1,829.46 : x
  2. Step 2: Convert to fraction form
    1,849.91/2,754.73 = 1,829.46/x
  3. Step 3: Cross multiply
    1,849.91x = 2,754.73 × 1,829.46
  4. Step 4: Simplify right side
    1,849.91x = 5,039,668.35
  5. Step 5: Solve for x
    x = 5,039,668.35/1,849.91
  6. Step 6: Final answer
    x = 2,724.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.