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Finding the Fourth Proportional to 2,224.67, 3,337.00 and 927.05

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Solution

The fourth proportional to 2,224.67, 3,337.00 and 927.05 is: 1,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.67 : 3,337.00 = 927.05 : x
  2. Step 2: Convert to fraction form
    2,224.67/3,337.00 = 927.05/x
  3. Step 3: Cross multiply
    2,224.67x = 3,337.00 × 927.05
  4. Step 4: Simplify right side
    2,224.67x = 3,093,546.85
  5. Step 5: Solve for x
    x = 3,093,546.85/2,224.67
  6. Step 6: Final answer
    x = 1,390.57

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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.