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Finding the Fourth Proportional to 1,832.56, 2,749.25 and 858.13

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Solution

The fourth proportional to 1,832.56, 2,749.25 and 858.13 is: 1,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.56 : 2,749.25 = 858.13 : x
  2. Step 2: Convert to fraction form
    1,832.56/2,749.25 = 858.13/x
  3. Step 3: Cross multiply
    1,832.56x = 2,749.25 × 858.13
  4. Step 4: Simplify right side
    1,832.56x = 2,359,195.87
  5. Step 5: Solve for x
    x = 2,359,195.87/1,832.56
  6. Step 6: Final answer
    x = 1,287.38

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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.