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Finding the Fourth Proportional to 2,858.68, 3,945 and 1,739.43

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Solution

The fourth proportional to 2,858.68, 3,945 and 1,739.43 is: 2,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.68 : 3,945 = 1,739.43 : x
  2. Step 2: Convert to fraction form
    2,858.68/3,945 = 1,739.43/x
  3. Step 3: Cross multiply
    2,858.68x = 3,945 × 1,739.43
  4. Step 4: Simplify right side
    2,858.68x = 6,862,051.35
  5. Step 5: Solve for x
    x = 6,862,051.35/2,858.68
  6. Step 6: Final answer
    x = 2,400.43

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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.