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Finding the Fourth Proportional to 4,604.82, 6,908.39 and 1,318.20

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Solution

The fourth proportional to 4,604.82, 6,908.39 and 1,318.20 is: 1,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.82 : 6,908.39 = 1,318.20 : x
  2. Step 2: Convert to fraction form
    4,604.82/6,908.39 = 1,318.20/x
  3. Step 3: Cross multiply
    4,604.82x = 6,908.39 × 1,318.20
  4. Step 4: Simplify right side
    4,604.82x = 9,106,639.70
  5. Step 5: Solve for x
    x = 9,106,639.70/4,604.82
  6. Step 6: Final answer
    x = 1,977.63

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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.