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Finding the Fourth Proportional to 2,257.47, 3,381.95 and 1,769.04

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Solution

The fourth proportional to 2,257.47, 3,381.95 and 1,769.04 is: 2,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.47 : 3,381.95 = 1,769.04 : x
  2. Step 2: Convert to fraction form
    2,257.47/3,381.95 = 1,769.04/x
  3. Step 3: Cross multiply
    2,257.47x = 3,381.95 × 1,769.04
  4. Step 4: Simplify right side
    2,257.47x = 5,982,809.25
  5. Step 5: Solve for x
    x = 5,982,809.25/2,257.47
  6. Step 6: Final answer
    x = 2,650.23

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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.