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Finding the Fourth Proportional to 2,467.65, 3,674.97 and 2,361.03

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Solution

The fourth proportional to 2,467.65, 3,674.97 and 2,361.03 is: 3,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.65 : 3,674.97 = 2,361.03 : x
  2. Step 2: Convert to fraction form
    2,467.65/3,674.97 = 2,361.03/x
  3. Step 3: Cross multiply
    2,467.65x = 3,674.97 × 2,361.03
  4. Step 4: Simplify right side
    2,467.65x = 8,676,714.42
  5. Step 5: Solve for x
    x = 8,676,714.42/2,467.65
  6. Step 6: Final answer
    x = 3,516.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.