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Finding the Fourth Proportional to 3,378.28, 4,663.14 and 1,981

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Solution

The fourth proportional to 3,378.28, 4,663.14 and 1,981 is: 2,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.28 : 4,663.14 = 1,981 : x
  2. Step 2: Convert to fraction form
    3,378.28/4,663.14 = 1,981/x
  3. Step 3: Cross multiply
    3,378.28x = 4,663.14 × 1,981
  4. Step 4: Simplify right side
    3,378.28x = 9,237,680.34
  5. Step 5: Solve for x
    x = 9,237,680.34/3,378.28
  6. Step 6: Final answer
    x = 2,734.43

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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.