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Finding the Fourth Proportional to 2,837.54, 4,255.99 and 757.72

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Solution

The fourth proportional to 2,837.54, 4,255.99 and 757.72 is: 1,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.54 : 4,255.99 = 757.72 : x
  2. Step 2: Convert to fraction form
    2,837.54/4,255.99 = 757.72/x
  3. Step 3: Cross multiply
    2,837.54x = 4,255.99 × 757.72
  4. Step 4: Simplify right side
    2,837.54x = 3,224,865.41
  5. Step 5: Solve for x
    x = 3,224,865.41/2,837.54
  6. Step 6: Final answer
    x = 1,136.50

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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.