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Finding the Fourth Proportional to 2,755.68, 4,131 and 1,000.26

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Solution

The fourth proportional to 2,755.68, 4,131 and 1,000.26 is: 1,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.68 : 4,131 = 1,000.26 : x
  2. Step 2: Convert to fraction form
    2,755.68/4,131 = 1,000.26/x
  3. Step 3: Cross multiply
    2,755.68x = 4,131 × 1,000.26
  4. Step 4: Simplify right side
    2,755.68x = 4,132,074.06
  5. Step 5: Solve for x
    x = 4,132,074.06/2,755.68
  6. Step 6: Final answer
    x = 1,499.48

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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.