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Finding the Fourth Proportional to 2,597.12, 3,896.16 and 865.92

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Solution

The fourth proportional to 2,597.12, 3,896.16 and 865.92 is: 1,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.12 : 3,896.16 = 865.92 : x
  2. Step 2: Convert to fraction form
    2,597.12/3,896.16 = 865.92/x
  3. Step 3: Cross multiply
    2,597.12x = 3,896.16 × 865.92
  4. Step 4: Simplify right side
    2,597.12x = 3,373,762.87
  5. Step 5: Solve for x
    x = 3,373,762.87/2,597.12
  6. Step 6: Final answer
    x = 1,299.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.