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Finding the Fourth Proportional to 2,331.50, 3,497.72 and 771.62

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Solution

The fourth proportional to 2,331.50, 3,497.72 and 771.62 is: 1,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.50 : 3,497.72 = 771.62 : x
  2. Step 2: Convert to fraction form
    2,331.50/3,497.72 = 771.62/x
  3. Step 3: Cross multiply
    2,331.50x = 3,497.72 × 771.62
  4. Step 4: Simplify right side
    2,331.50x = 2,698,889.36
  5. Step 5: Solve for x
    x = 2,698,889.36/2,331.50
  6. Step 6: Final answer
    x = 1,157.58

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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.