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Finding the Fourth Proportional to 2,579.08, 3,868.13 and 729.75

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Solution

The fourth proportional to 2,579.08, 3,868.13 and 729.75 is: 1,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.08 : 3,868.13 = 729.75 : x
  2. Step 2: Convert to fraction form
    2,579.08/3,868.13 = 729.75/x
  3. Step 3: Cross multiply
    2,579.08x = 3,868.13 × 729.75
  4. Step 4: Simplify right side
    2,579.08x = 2,822,758.33
  5. Step 5: Solve for x
    x = 2,822,758.33/2,579.08
  6. Step 6: Final answer
    x = 1,094.48

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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.