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Finding the Fourth Proportional to 2,523.96, 3,786.09 and 964.10

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Solution

The fourth proportional to 2,523.96, 3,786.09 and 964.10 is: 1,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.96 : 3,786.09 = 964.10 : x
  2. Step 2: Convert to fraction form
    2,523.96/3,786.09 = 964.10/x
  3. Step 3: Cross multiply
    2,523.96x = 3,786.09 × 964.10
  4. Step 4: Simplify right side
    2,523.96x = 3,650,180.64
  5. Step 5: Solve for x
    x = 3,650,180.64/2,523.96
  6. Step 6: Final answer
    x = 1,446.21

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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.