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Finding the Fourth Proportional to 2,564.34, 3,845.70 and 809.28

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Solution

The fourth proportional to 2,564.34, 3,845.70 and 809.28 is: 1,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.34 : 3,845.70 = 809.28 : x
  2. Step 2: Convert to fraction form
    2,564.34/3,845.70 = 809.28/x
  3. Step 3: Cross multiply
    2,564.34x = 3,845.70 × 809.28
  4. Step 4: Simplify right side
    2,564.34x = 3,112,248.10
  5. Step 5: Solve for x
    x = 3,112,248.10/2,564.34
  6. Step 6: Final answer
    x = 1,213.66

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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.