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Finding the Fourth Proportional to 2,993.40, 4,131.42 and 1,734.24

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Solution

The fourth proportional to 2,993.40, 4,131.42 and 1,734.24 is: 2,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.40 : 4,131.42 = 1,734.24 : x
  2. Step 2: Convert to fraction form
    2,993.40/4,131.42 = 1,734.24/x
  3. Step 3: Cross multiply
    2,993.40x = 4,131.42 × 1,734.24
  4. Step 4: Simplify right side
    2,993.40x = 7,164,873.82
  5. Step 5: Solve for x
    x = 7,164,873.82/2,993.40
  6. Step 6: Final answer
    x = 2,393.56

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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.