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Finding the Fourth Proportional to 2,604.34, 3,905.79 and 1,305.46

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Solution

The fourth proportional to 2,604.34, 3,905.79 and 1,305.46 is: 1,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.34 : 3,905.79 = 1,305.46 : x
  2. Step 2: Convert to fraction form
    2,604.34/3,905.79 = 1,305.46/x
  3. Step 3: Cross multiply
    2,604.34x = 3,905.79 × 1,305.46
  4. Step 4: Simplify right side
    2,604.34x = 5,098,852.61
  5. Step 5: Solve for x
    x = 5,098,852.61/2,604.34
  6. Step 6: Final answer
    x = 1,957.83

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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.