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Finding the Fourth Proportional to 3,204.82, 4,807.92 and 983.96

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Solution

The fourth proportional to 3,204.82, 4,807.92 and 983.96 is: 1,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.82 : 4,807.92 = 983.96 : x
  2. Step 2: Convert to fraction form
    3,204.82/4,807.92 = 983.96/x
  3. Step 3: Cross multiply
    3,204.82x = 4,807.92 × 983.96
  4. Step 4: Simplify right side
    3,204.82x = 4,730,800.96
  5. Step 5: Solve for x
    x = 4,730,800.96/3,204.82
  6. Step 6: Final answer
    x = 1,476.15

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Why These Related Problems?

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