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Finding the Fourth Proportional to 1,584.14, 2,375.46 and 926.20

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Solution

The fourth proportional to 1,584.14, 2,375.46 and 926.20 is: 1,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.14 : 2,375.46 = 926.20 : x
  2. Step 2: Convert to fraction form
    1,584.14/2,375.46 = 926.20/x
  3. Step 3: Cross multiply
    1,584.14x = 2,375.46 × 926.20
  4. Step 4: Simplify right side
    1,584.14x = 2,200,151.05
  5. Step 5: Solve for x
    x = 2,200,151.05/1,584.14
  6. Step 6: Final answer
    x = 1,388.86

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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.