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Finding the Fourth Proportional to 2,304.41, 3,457.04 and 1,644.65

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Solution

The fourth proportional to 2,304.41, 3,457.04 and 1,644.65 is: 2,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.41 : 3,457.04 = 1,644.65 : x
  2. Step 2: Convert to fraction form
    2,304.41/3,457.04 = 1,644.65/x
  3. Step 3: Cross multiply
    2,304.41x = 3,457.04 × 1,644.65
  4. Step 4: Simplify right side
    2,304.41x = 5,685,595.33
  5. Step 5: Solve for x
    x = 5,685,595.33/2,304.41
  6. Step 6: Final answer
    x = 2,467.27

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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.