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Finding the Fourth Proportional to 2,564.67, 3,540.42 and 1,725.96

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Solution

The fourth proportional to 2,564.67, 3,540.42 and 1,725.96 is: 2,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.67 : 3,540.42 = 1,725.96 : x
  2. Step 2: Convert to fraction form
    2,564.67/3,540.42 = 1,725.96/x
  3. Step 3: Cross multiply
    2,564.67x = 3,540.42 × 1,725.96
  4. Step 4: Simplify right side
    2,564.67x = 6,110,623.30
  5. Step 5: Solve for x
    x = 6,110,623.30/2,564.67
  6. Step 6: Final answer
    x = 2,382.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.