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Finding the Fourth Proportional to 3,409.20, 4,703.46 and 2,230.20

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Solution

The fourth proportional to 3,409.20, 4,703.46 and 2,230.20 is: 3,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.20 : 4,703.46 = 2,230.20 : x
  2. Step 2: Convert to fraction form
    3,409.20/4,703.46 = 2,230.20/x
  3. Step 3: Cross multiply
    3,409.20x = 4,703.46 × 2,230.20
  4. Step 4: Simplify right side
    3,409.20x = 10,489,656.49
  5. Step 5: Solve for x
    x = 10,489,656.49/3,409.20
  6. Step 6: Final answer
    x = 3,076.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.