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Finding the Fourth Proportional to 2,769.15, 4,154.52 and 821.40

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Solution

The fourth proportional to 2,769.15, 4,154.52 and 821.40 is: 1,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.15 : 4,154.52 = 821.40 : x
  2. Step 2: Convert to fraction form
    2,769.15/4,154.52 = 821.40/x
  3. Step 3: Cross multiply
    2,769.15x = 4,154.52 × 821.40
  4. Step 4: Simplify right side
    2,769.15x = 3,412,522.73
  5. Step 5: Solve for x
    x = 3,412,522.73/2,769.15
  6. Step 6: Final answer
    x = 1,232.34

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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.