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Finding the Fourth Proportional to 3,193.98, 4,407.71 and 1,796.64

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Solution

The fourth proportional to 3,193.98, 4,407.71 and 1,796.64 is: 2,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.98 : 4,407.71 = 1,796.64 : x
  2. Step 2: Convert to fraction form
    3,193.98/4,407.71 = 1,796.64/x
  3. Step 3: Cross multiply
    3,193.98x = 4,407.71 × 1,796.64
  4. Step 4: Simplify right side
    3,193.98x = 7,919,059.11
  5. Step 5: Solve for x
    x = 7,919,059.11/3,193.98
  6. Step 6: Final answer
    x = 2,479.37

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1.5x scale

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.