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Finding the Fourth Proportional to 2,604.60, 3,908.42 and 962.30

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Solution

The fourth proportional to 2,604.60, 3,908.42 and 962.30 is: 1,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.60 : 3,908.42 = 962.30 : x
  2. Step 2: Convert to fraction form
    2,604.60/3,908.42 = 962.30/x
  3. Step 3: Cross multiply
    2,604.60x = 3,908.42 × 962.30
  4. Step 4: Simplify right side
    2,604.60x = 3,761,072.57
  5. Step 5: Solve for x
    x = 3,761,072.57/2,604.60
  6. Step 6: Final answer
    x = 1,444.01

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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.