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Finding the Fourth Proportional to 2,397.63, 3,596.90 and 936.69

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Solution

The fourth proportional to 2,397.63, 3,596.90 and 936.69 is: 1,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.63 : 3,596.90 = 936.69 : x
  2. Step 2: Convert to fraction form
    2,397.63/3,596.90 = 936.69/x
  3. Step 3: Cross multiply
    2,397.63x = 3,596.90 × 936.69
  4. Step 4: Simplify right side
    2,397.63x = 3,369,175.58
  5. Step 5: Solve for x
    x = 3,369,175.58/2,397.63
  6. Step 6: Final answer
    x = 1,405.21

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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.