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Finding the Fourth Proportional to 2,998.32, 4,137.90 and 1,739.70

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Solution

The fourth proportional to 2,998.32, 4,137.90 and 1,739.70 is: 2,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.32 : 4,137.90 = 1,739.70 : x
  2. Step 2: Convert to fraction form
    2,998.32/4,137.90 = 1,739.70/x
  3. Step 3: Cross multiply
    2,998.32x = 4,137.90 × 1,739.70
  4. Step 4: Simplify right side
    2,998.32x = 7,198,704.63
  5. Step 5: Solve for x
    x = 7,198,704.63/2,998.32
  6. Step 6: Final answer
    x = 2,400.91

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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.