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Finding the Fourth Proportional to 2,331.87, 3,496.97 and 771.59

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Solution

The fourth proportional to 2,331.87, 3,496.97 and 771.59 is: 1,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.87 : 3,496.97 = 771.59 : x
  2. Step 2: Convert to fraction form
    2,331.87/3,496.97 = 771.59/x
  3. Step 3: Cross multiply
    2,331.87x = 3,496.97 × 771.59
  4. Step 4: Simplify right side
    2,331.87x = 2,698,205.74
  5. Step 5: Solve for x
    x = 2,698,205.74/2,331.87
  6. Step 6: Final answer
    x = 1,157.10

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1.5x scale

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.