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Finding the Fourth Proportional to 4,197.84, 6,297.51 and 1,731.31

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Solution

The fourth proportional to 4,197.84, 6,297.51 and 1,731.31 is: 2,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.84 : 6,297.51 = 1,731.31 : x
  2. Step 2: Convert to fraction form
    4,197.84/6,297.51 = 1,731.31/x
  3. Step 3: Cross multiply
    4,197.84x = 6,297.51 × 1,731.31
  4. Step 4: Simplify right side
    4,197.84x = 10,902,933.38
  5. Step 5: Solve for x
    x = 10,902,933.38/4,197.84
  6. Step 6: Final answer
    x = 2,597.27

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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.