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Finding the Fourth Proportional to 2,674.05, 4,005.09 and 1,546.94

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Solution

The fourth proportional to 2,674.05, 4,005.09 and 1,546.94 is: 2,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.05 : 4,005.09 = 1,546.94 : x
  2. Step 2: Convert to fraction form
    2,674.05/4,005.09 = 1,546.94/x
  3. Step 3: Cross multiply
    2,674.05x = 4,005.09 × 1,546.94
  4. Step 4: Simplify right side
    2,674.05x = 6,195,613.90
  5. Step 5: Solve for x
    x = 6,195,613.90/2,674.05
  6. Step 6: Final answer
    x = 2,316.94

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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.