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Finding the Fourth Proportional to 2,767.26, 4,146.03 and 2,465.94

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Solution

The fourth proportional to 2,767.26, 4,146.03 and 2,465.94 is: 3,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.26 : 4,146.03 = 2,465.94 : x
  2. Step 2: Convert to fraction form
    2,767.26/4,146.03 = 2,465.94/x
  3. Step 3: Cross multiply
    2,767.26x = 4,146.03 × 2,465.94
  4. Step 4: Simplify right side
    2,767.26x = 10,223,861.22
  5. Step 5: Solve for x
    x = 10,223,861.22/2,767.26
  6. Step 6: Final answer
    x = 3,694.58

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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.