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Finding the Fourth Proportional to 2,998.33, 4,138.00 and 1,739.77

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Solution

The fourth proportional to 2,998.33, 4,138.00 and 1,739.77 is: 2,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.33 : 4,138.00 = 1,739.77 : x
  2. Step 2: Convert to fraction form
    2,998.33/4,138.00 = 1,739.77/x
  3. Step 3: Cross multiply
    2,998.33x = 4,138.00 × 1,739.77
  4. Step 4: Simplify right side
    2,998.33x = 7,199,182.95
  5. Step 5: Solve for x
    x = 7,199,182.95/2,998.33
  6. Step 6: Final answer
    x = 2,401.06

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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.