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Finding the Fourth Proportional to 1,671.22, 2,504.44 and 939.26

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Solution

The fourth proportional to 1,671.22, 2,504.44 and 939.26 is: 1,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.22 : 2,504.44 = 939.26 : x
  2. Step 2: Convert to fraction form
    1,671.22/2,504.44 = 939.26/x
  3. Step 3: Cross multiply
    1,671.22x = 2,504.44 × 939.26
  4. Step 4: Simplify right side
    1,671.22x = 2,352,327.75
  5. Step 5: Solve for x
    x = 2,352,327.75/1,671.22
  6. Step 6: Final answer
    x = 1,407.55

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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.