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Finding the Fourth Proportional to 3,193.92, 4,406.88 and 1,796.16

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Solution

The fourth proportional to 3,193.92, 4,406.88 and 1,796.16 is: 2,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.92 : 4,406.88 = 1,796.16 : x
  2. Step 2: Convert to fraction form
    3,193.92/4,406.88 = 1,796.16/x
  3. Step 3: Cross multiply
    3,193.92x = 4,406.88 × 1,796.16
  4. Step 4: Simplify right side
    3,193.92x = 7,915,461.58
  5. Step 5: Solve for x
    x = 7,915,461.58/3,193.92
  6. Step 6: Final answer
    x = 2,478.29

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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.