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Finding the Fourth Proportional to 1,378.24, 1,902.42 and 937.48

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Solution

The fourth proportional to 1,378.24, 1,902.42 and 937.48 is: 1,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.24 : 1,902.42 = 937.48 : x
  2. Step 2: Convert to fraction form
    1,378.24/1,902.42 = 937.48/x
  3. Step 3: Cross multiply
    1,378.24x = 1,902.42 × 937.48
  4. Step 4: Simplify right side
    1,378.24x = 1,783,480.70
  5. Step 5: Solve for x
    x = 1,783,480.70/1,378.24
  6. Step 6: Final answer
    x = 1,294.03

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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.