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Finding the Fourth Proportional to 1,203.70, 1,638.76 and 1,192.90

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Solution

The fourth proportional to 1,203.70, 1,638.76 and 1,192.90 is: 1,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.70 : 1,638.76 = 1,192.90 : x
  2. Step 2: Convert to fraction form
    1,203.70/1,638.76 = 1,192.90/x
  3. Step 3: Cross multiply
    1,203.70x = 1,638.76 × 1,192.90
  4. Step 4: Simplify right side
    1,203.70x = 1,954,876.80
  5. Step 5: Solve for x
    x = 1,954,876.80/1,203.70
  6. Step 6: Final answer
    x = 1,624.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.