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Finding the Fourth Proportional to 2,436, 3,361.68 and 1,388.68

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Solution

The fourth proportional to 2,436, 3,361.68 and 1,388.68 is: 1,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436 : 3,361.68 = 1,388.68 : x
  2. Step 2: Convert to fraction form
    2,436/3,361.68 = 1,388.68/x
  3. Step 3: Cross multiply
    2,436x = 3,361.68 × 1,388.68
  4. Step 4: Simplify right side
    2,436x = 4,668,297.78
  5. Step 5: Solve for x
    x = 4,668,297.78/2,436
  6. Step 6: Final answer
    x = 1,916.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.