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Finding the Fourth Proportional to 2,998, 4,137.78 and 1,739.92

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Solution

The fourth proportional to 2,998, 4,137.78 and 1,739.92 is: 2,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998 : 4,137.78 = 1,739.92 : x
  2. Step 2: Convert to fraction form
    2,998/4,137.78 = 1,739.92/x
  3. Step 3: Cross multiply
    2,998x = 4,137.78 × 1,739.92
  4. Step 4: Simplify right side
    2,998x = 7,199,406.18
  5. Step 5: Solve for x
    x = 7,199,406.18/2,998
  6. Step 6: Final answer
    x = 2,401.40

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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.