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Finding the Fourth Proportional to 2,697.98, 4,043.93 and 1,234.10

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Solution

The fourth proportional to 2,697.98, 4,043.93 and 1,234.10 is: 1,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.98 : 4,043.93 = 1,234.10 : x
  2. Step 2: Convert to fraction form
    2,697.98/4,043.93 = 1,234.10/x
  3. Step 3: Cross multiply
    2,697.98x = 4,043.93 × 1,234.10
  4. Step 4: Simplify right side
    2,697.98x = 4,990,617.95
  5. Step 5: Solve for x
    x = 4,990,617.95/2,697.98
  6. Step 6: Final answer
    x = 1,849.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.