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Finding the Fourth Proportional to 2,596.20, 3,896.28 and 954.32

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Solution

The fourth proportional to 2,596.20, 3,896.28 and 954.32 is: 1,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.20 : 3,896.28 = 954.32 : x
  2. Step 2: Convert to fraction form
    2,596.20/3,896.28 = 954.32/x
  3. Step 3: Cross multiply
    2,596.20x = 3,896.28 × 954.32
  4. Step 4: Simplify right side
    2,596.20x = 3,718,297.93
  5. Step 5: Solve for x
    x = 3,718,297.93/2,596.20
  6. Step 6: Final answer
    x = 1,432.21

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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.