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Finding the Fourth Proportional to 3,063.97, 4,597.94 and 1,604.13

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Solution

The fourth proportional to 3,063.97, 4,597.94 and 1,604.13 is: 2,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.97 : 4,597.94 = 1,604.13 : x
  2. Step 2: Convert to fraction form
    3,063.97/4,597.94 = 1,604.13/x
  3. Step 3: Cross multiply
    3,063.97x = 4,597.94 × 1,604.13
  4. Step 4: Simplify right side
    3,063.97x = 7,375,693.49
  5. Step 5: Solve for x
    x = 7,375,693.49/3,063.97
  6. Step 6: Final answer
    x = 2,407.23

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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.