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Finding the Fourth Proportional to 2,769, 4,154.31 and 821.25

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Solution

The fourth proportional to 2,769, 4,154.31 and 821.25 is: 1,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769 : 4,154.31 = 821.25 : x
  2. Step 2: Convert to fraction form
    2,769/4,154.31 = 821.25/x
  3. Step 3: Cross multiply
    2,769x = 4,154.31 × 821.25
  4. Step 4: Simplify right side
    2,769x = 3,411,727.09
  5. Step 5: Solve for x
    x = 3,411,727.09/2,769
  6. Step 6: Final answer
    x = 1,232.12

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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.