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Finding the Fourth Proportional to 1,204.62, 1,652.39 and 1,194.23

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Solution

The fourth proportional to 1,204.62, 1,652.39 and 1,194.23 is: 1,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.62 : 1,652.39 = 1,194.23 : x
  2. Step 2: Convert to fraction form
    1,204.62/1,652.39 = 1,194.23/x
  3. Step 3: Cross multiply
    1,204.62x = 1,652.39 × 1,194.23
  4. Step 4: Simplify right side
    1,204.62x = 1,973,319.48
  5. Step 5: Solve for x
    x = 1,973,319.48/1,204.62
  6. Step 6: Final answer
    x = 1,638.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.