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Finding the Fourth Proportional to 3,042.88, 4,198.50 and 1,980.53

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Solution

The fourth proportional to 3,042.88, 4,198.50 and 1,980.53 is: 2,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.88 : 4,198.50 = 1,980.53 : x
  2. Step 2: Convert to fraction form
    3,042.88/4,198.50 = 1,980.53/x
  3. Step 3: Cross multiply
    3,042.88x = 4,198.50 × 1,980.53
  4. Step 4: Simplify right side
    3,042.88x = 8,315,249.66
  5. Step 5: Solve for x
    x = 8,315,249.66/3,042.88
  6. Step 6: Final answer
    x = 2,732.70

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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.