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Finding the Fourth Proportional to 2,697.75, 4,046.85 and 749.97

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Solution

The fourth proportional to 2,697.75, 4,046.85 and 749.97 is: 1,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.75 : 4,046.85 = 749.97 : x
  2. Step 2: Convert to fraction form
    2,697.75/4,046.85 = 749.97/x
  3. Step 3: Cross multiply
    2,697.75x = 4,046.85 × 749.97
  4. Step 4: Simplify right side
    2,697.75x = 3,035,016.09
  5. Step 5: Solve for x
    x = 3,035,016.09/2,697.75
  6. Step 6: Final answer
    x = 1,125.02

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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.