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Finding the Fourth Proportional to 1,584.26, 2,371.92 and 842.18

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Solution

The fourth proportional to 1,584.26, 2,371.92 and 842.18 is: 1,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.26 : 2,371.92 = 842.18 : x
  2. Step 2: Convert to fraction form
    1,584.26/2,371.92 = 842.18/x
  3. Step 3: Cross multiply
    1,584.26x = 2,371.92 × 842.18
  4. Step 4: Simplify right side
    1,584.26x = 1,997,583.59
  5. Step 5: Solve for x
    x = 1,997,583.59/1,584.26
  6. Step 6: Final answer
    x = 1,260.89

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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.