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Finding the Fourth Proportional to 1,744.83, 2,406.65 and 1,481.03

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Solution

The fourth proportional to 1,744.83, 2,406.65 and 1,481.03 is: 2,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.83 : 2,406.65 = 1,481.03 : x
  2. Step 2: Convert to fraction form
    1,744.83/2,406.65 = 1,481.03/x
  3. Step 3: Cross multiply
    1,744.83x = 2,406.65 × 1,481.03
  4. Step 4: Simplify right side
    1,744.83x = 3,564,320.85
  5. Step 5: Solve for x
    x = 3,564,320.85/1,744.83
  6. Step 6: Final answer
    x = 2,042.79

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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.