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Finding the Fourth Proportional to 1,321.54, 1,982.46 and 347.66

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Solution

The fourth proportional to 1,321.54, 1,982.46 and 347.66 is: 521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.54 : 1,982.46 = 347.66 : x
  2. Step 2: Convert to fraction form
    1,321.54/1,982.46 = 347.66/x
  3. Step 3: Cross multiply
    1,321.54x = 1,982.46 × 347.66
  4. Step 4: Simplify right side
    1,321.54x = 689,222.04
  5. Step 5: Solve for x
    x = 689,222.04/1,321.54
  6. Step 6: Final answer
    x = 521.53

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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.