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Finding the Fourth Proportional to 1,584.08, 2,375.31 and 926.18

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Solution

The fourth proportional to 1,584.08, 2,375.31 and 926.18 is: 1,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.08 : 2,375.31 = 926.18 : x
  2. Step 2: Convert to fraction form
    1,584.08/2,375.31 = 926.18/x
  3. Step 3: Cross multiply
    1,584.08x = 2,375.31 × 926.18
  4. Step 4: Simplify right side
    1,584.08x = 2,199,964.62
  5. Step 5: Solve for x
    x = 2,199,964.62/1,584.08
  6. Step 6: Final answer
    x = 1,388.80

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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.