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Finding the Fourth Proportional to 1,377.49, 2,066.23 and 351.49

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Solution

The fourth proportional to 1,377.49, 2,066.23 and 351.49 is: 527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.49 : 2,066.23 = 351.49 : x
  2. Step 2: Convert to fraction form
    1,377.49/2,066.23 = 351.49/x
  3. Step 3: Cross multiply
    1,377.49x = 2,066.23 × 351.49
  4. Step 4: Simplify right side
    1,377.49x = 726,247.97
  5. Step 5: Solve for x
    x = 726,247.97/1,377.49
  6. Step 6: Final answer
    x = 527.23

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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.