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Finding the Fourth Proportional to 3,000.98, 4,141.56 and 1,674.95

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Solution

The fourth proportional to 3,000.98, 4,141.56 and 1,674.95 is: 2,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.98 : 4,141.56 = 1,674.95 : x
  2. Step 2: Convert to fraction form
    3,000.98/4,141.56 = 1,674.95/x
  3. Step 3: Cross multiply
    3,000.98x = 4,141.56 × 1,674.95
  4. Step 4: Simplify right side
    3,000.98x = 6,936,891.50
  5. Step 5: Solve for x
    x = 6,936,891.50/3,000.98
  6. Step 6: Final answer
    x = 2,311.54

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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.