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Finding the Fourth Proportional to 3,193.60, 4,407.06 and 1,796.08

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Solution

The fourth proportional to 3,193.60, 4,407.06 and 1,796.08 is: 2,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.60 : 4,407.06 = 1,796.08 : x
  2. Step 2: Convert to fraction form
    3,193.60/4,407.06 = 1,796.08/x
  3. Step 3: Cross multiply
    3,193.60x = 4,407.06 × 1,796.08
  4. Step 4: Simplify right side
    3,193.60x = 7,915,432.32
  5. Step 5: Solve for x
    x = 7,915,432.32/3,193.60
  6. Step 6: Final answer
    x = 2,478.53

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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.