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Finding the Fourth Proportional to 1,738.60, 2,398.44 and 1,039.84

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Solution

The fourth proportional to 1,738.60, 2,398.44 and 1,039.84 is: 1,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.60 : 2,398.44 = 1,039.84 : x
  2. Step 2: Convert to fraction form
    1,738.60/2,398.44 = 1,039.84/x
  3. Step 3: Cross multiply
    1,738.60x = 2,398.44 × 1,039.84
  4. Step 4: Simplify right side
    1,738.60x = 2,493,993.85
  5. Step 5: Solve for x
    x = 2,493,993.85/1,738.60
  6. Step 6: Final answer
    x = 1,434.48

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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.