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Finding the Fourth Proportional to 2,443.11, 3,664.81 and 982.26

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Solution

The fourth proportional to 2,443.11, 3,664.81 and 982.26 is: 1,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.11 : 3,664.81 = 982.26 : x
  2. Step 2: Convert to fraction form
    2,443.11/3,664.81 = 982.26/x
  3. Step 3: Cross multiply
    2,443.11x = 3,664.81 × 982.26
  4. Step 4: Simplify right side
    2,443.11x = 3,599,797.50
  5. Step 5: Solve for x
    x = 3,599,797.50/2,443.11
  6. Step 6: Final answer
    x = 1,473.45

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1.5x scale

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.