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Finding the Fourth Proportional to 1,892.05, 2,838.03 and 505.33

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Solution

The fourth proportional to 1,892.05, 2,838.03 and 505.33 is: 757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.05 : 2,838.03 = 505.33 : x
  2. Step 2: Convert to fraction form
    1,892.05/2,838.03 = 505.33/x
  3. Step 3: Cross multiply
    1,892.05x = 2,838.03 × 505.33
  4. Step 4: Simplify right side
    1,892.05x = 1,434,141.70
  5. Step 5: Solve for x
    x = 1,434,141.70/1,892.05
  6. Step 6: Final answer
    x = 757.98

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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.