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Finding the Fourth Proportional to 2,331.70, 3,496.81 and 771.41

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Solution

The fourth proportional to 2,331.70, 3,496.81 and 771.41 is: 1,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.70 : 3,496.81 = 771.41 : x
  2. Step 2: Convert to fraction form
    2,331.70/3,496.81 = 771.41/x
  3. Step 3: Cross multiply
    2,331.70x = 3,496.81 × 771.41
  4. Step 4: Simplify right side
    2,331.70x = 2,697,474.20
  5. Step 5: Solve for x
    x = 2,697,474.20/2,331.70
  6. Step 6: Final answer
    x = 1,156.87

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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.