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Finding the Fourth Proportional to 1,596.53, 2,396.24 and 817.07

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Solution

The fourth proportional to 1,596.53, 2,396.24 and 817.07 is: 1,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.53 : 2,396.24 = 817.07 : x
  2. Step 2: Convert to fraction form
    1,596.53/2,396.24 = 817.07/x
  3. Step 3: Cross multiply
    1,596.53x = 2,396.24 × 817.07
  4. Step 4: Simplify right side
    1,596.53x = 1,957,903.85
  5. Step 5: Solve for x
    x = 1,957,903.85/1,596.53
  6. Step 6: Final answer
    x = 1,226.35

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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.