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Finding the Fourth Proportional to 2,253, 3,379.33 and 792.25

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Solution

The fourth proportional to 2,253, 3,379.33 and 792.25 is: 1,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253 : 3,379.33 = 792.25 : x
  2. Step 2: Convert to fraction form
    2,253/3,379.33 = 792.25/x
  3. Step 3: Cross multiply
    2,253x = 3,379.33 × 792.25
  4. Step 4: Simplify right side
    2,253x = 2,677,274.19
  5. Step 5: Solve for x
    x = 2,677,274.19/2,253
  6. Step 6: Final answer
    x = 1,188.32

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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.