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Finding the Fourth Proportional to 1,378.49, 1,902.62 and 936.56

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Solution

The fourth proportional to 1,378.49, 1,902.62 and 936.56 is: 1,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.49 : 1,902.62 = 936.56 : x
  2. Step 2: Convert to fraction form
    1,378.49/1,902.62 = 936.56/x
  3. Step 3: Cross multiply
    1,378.49x = 1,902.62 × 936.56
  4. Step 4: Simplify right side
    1,378.49x = 1,781,924.89
  5. Step 5: Solve for x
    x = 1,781,924.89/1,378.49
  6. Step 6: Final answer
    x = 1,292.67

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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.