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Finding the Fourth Proportional to 2,397.62, 3,596.90 and 936.68

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Solution

The fourth proportional to 2,397.62, 3,596.90 and 936.68 is: 1,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.62 : 3,596.90 = 936.68 : x
  2. Step 2: Convert to fraction form
    2,397.62/3,596.90 = 936.68/x
  3. Step 3: Cross multiply
    2,397.62x = 3,596.90 × 936.68
  4. Step 4: Simplify right side
    2,397.62x = 3,369,144.29
  5. Step 5: Solve for x
    x = 3,369,144.29/2,397.62
  6. Step 6: Final answer
    x = 1,405.20

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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.