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Finding the Fourth Proportional to 4,197.93, 6,291.50 and 1,734.48

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Solution

The fourth proportional to 4,197.93, 6,291.50 and 1,734.48 is: 2,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.93 : 6,291.50 = 1,734.48 : x
  2. Step 2: Convert to fraction form
    4,197.93/6,291.50 = 1,734.48/x
  3. Step 3: Cross multiply
    4,197.93x = 6,291.50 × 1,734.48
  4. Step 4: Simplify right side
    4,197.93x = 10,912,480.92
  5. Step 5: Solve for x
    x = 10,912,480.92/4,197.93
  6. Step 6: Final answer
    x = 2,599.49

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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.