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Finding the Fourth Proportional to 1,302.48, 1,793.34 and 1,105.56

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Solution

The fourth proportional to 1,302.48, 1,793.34 and 1,105.56 is: 1,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.48 : 1,793.34 = 1,105.56 : x
  2. Step 2: Convert to fraction form
    1,302.48/1,793.34 = 1,105.56/x
  3. Step 3: Cross multiply
    1,302.48x = 1,793.34 × 1,105.56
  4. Step 4: Simplify right side
    1,302.48x = 1,982,644.97
  5. Step 5: Solve for x
    x = 1,982,644.97/1,302.48
  6. Step 6: Final answer
    x = 1,522.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.