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Finding the Fourth Proportional to 1,888.05, 2,833.19 and 792.33

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Solution

The fourth proportional to 1,888.05, 2,833.19 and 792.33 is: 1,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.05 : 2,833.19 = 792.33 : x
  2. Step 2: Convert to fraction form
    1,888.05/2,833.19 = 792.33/x
  3. Step 3: Cross multiply
    1,888.05x = 2,833.19 × 792.33
  4. Step 4: Simplify right side
    1,888.05x = 2,244,817.47
  5. Step 5: Solve for x
    x = 2,244,817.47/1,888.05
  6. Step 6: Final answer
    x = 1,188.96

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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.