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Finding the Fourth Proportional to 3,193.49, 4,407.63 and 1,796.24

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Solution

The fourth proportional to 3,193.49, 4,407.63 and 1,796.24 is: 2,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.49 : 4,407.63 = 1,796.24 : x
  2. Step 2: Convert to fraction form
    3,193.49/4,407.63 = 1,796.24/x
  3. Step 3: Cross multiply
    3,193.49x = 4,407.63 × 1,796.24
  4. Step 4: Simplify right side
    3,193.49x = 7,917,149.53
  5. Step 5: Solve for x
    x = 7,917,149.53/3,193.49
  6. Step 6: Final answer
    x = 2,479.15

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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.