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Finding the Fourth Proportional to 1,261.70, 1,892.82 and 384.23

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Solution

The fourth proportional to 1,261.70, 1,892.82 and 384.23 is: 576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.70 : 1,892.82 = 384.23 : x
  2. Step 2: Convert to fraction form
    1,261.70/1,892.82 = 384.23/x
  3. Step 3: Cross multiply
    1,261.70x = 1,892.82 × 384.23
  4. Step 4: Simplify right side
    1,261.70x = 727,278.23
  5. Step 5: Solve for x
    x = 727,278.23/1,261.70
  6. Step 6: Final answer
    x = 576.43

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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.