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Finding the Fourth Proportional to 2,564.65, 3,844.66 and 920.81

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Solution

The fourth proportional to 2,564.65, 3,844.66 and 920.81 is: 1,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.65 : 3,844.66 = 920.81 : x
  2. Step 2: Convert to fraction form
    2,564.65/3,844.66 = 920.81/x
  3. Step 3: Cross multiply
    2,564.65x = 3,844.66 × 920.81
  4. Step 4: Simplify right side
    2,564.65x = 3,540,201.37
  5. Step 5: Solve for x
    x = 3,540,201.37/2,564.65
  6. Step 6: Final answer
    x = 1,380.38

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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.