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Finding the Fourth Proportional to 4,203.45, 6,299.50 and 1,604.97

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Solution

The fourth proportional to 4,203.45, 6,299.50 and 1,604.97 is: 2,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.45 : 6,299.50 = 1,604.97 : x
  2. Step 2: Convert to fraction form
    4,203.45/6,299.50 = 1,604.97/x
  3. Step 3: Cross multiply
    4,203.45x = 6,299.50 × 1,604.97
  4. Step 4: Simplify right side
    4,203.45x = 10,110,473.01
  5. Step 5: Solve for x
    x = 10,110,473.01/4,203.45
  6. Step 6: Final answer
    x = 2,405.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.