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Finding the Fourth Proportional to 2,564.44, 3,846.74 and 809.46

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Solution

The fourth proportional to 2,564.44, 3,846.74 and 809.46 is: 1,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.44 : 3,846.74 = 809.46 : x
  2. Step 2: Convert to fraction form
    2,564.44/3,846.74 = 809.46/x
  3. Step 3: Cross multiply
    2,564.44x = 3,846.74 × 809.46
  4. Step 4: Simplify right side
    2,564.44x = 3,113,778.11
  5. Step 5: Solve for x
    x = 3,113,778.11/2,564.44
  6. Step 6: Final answer
    x = 1,214.21

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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.