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Finding the Fourth Proportional to 2,859.40, 3,944.94 and 1,739.98

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Solution

The fourth proportional to 2,859.40, 3,944.94 and 1,739.98 is: 2,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.40 : 3,944.94 = 1,739.98 : x
  2. Step 2: Convert to fraction form
    2,859.40/3,944.94 = 1,739.98/x
  3. Step 3: Cross multiply
    2,859.40x = 3,944.94 × 1,739.98
  4. Step 4: Simplify right side
    2,859.40x = 6,864,116.70
  5. Step 5: Solve for x
    x = 6,864,116.70/2,859.40
  6. Step 6: Final answer
    x = 2,400.54

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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.