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Finding the Fourth Proportional to 1,744.50, 2,407.42 and 998.61

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Solution

The fourth proportional to 1,744.50, 2,407.42 and 998.61 is: 1,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.50 : 2,407.42 = 998.61 : x
  2. Step 2: Convert to fraction form
    1,744.50/2,407.42 = 998.61/x
  3. Step 3: Cross multiply
    1,744.50x = 2,407.42 × 998.61
  4. Step 4: Simplify right side
    1,744.50x = 2,404,073.69
  5. Step 5: Solve for x
    x = 2,404,073.69/1,744.50
  6. Step 6: Final answer
    x = 1,378.09

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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.