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Finding the Fourth Proportional to 3,290.49, 4,936.01 and 981.99

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Solution

The fourth proportional to 3,290.49, 4,936.01 and 981.99 is: 1,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.49 : 4,936.01 = 981.99 : x
  2. Step 2: Convert to fraction form
    3,290.49/4,936.01 = 981.99/x
  3. Step 3: Cross multiply
    3,290.49x = 4,936.01 × 981.99
  4. Step 4: Simplify right side
    3,290.49x = 4,847,107.55
  5. Step 5: Solve for x
    x = 4,847,107.55/3,290.49
  6. Step 6: Final answer
    x = 1,473.07

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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.