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Finding the Fourth Proportional to 1,378.96, 2,079.24 and 1,264.14

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Solution

The fourth proportional to 1,378.96, 2,079.24 and 1,264.14 is: 1,906.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.96 : 2,079.24 = 1,264.14 : x
  2. Step 2: Convert to fraction form
    1,378.96/2,079.24 = 1,264.14/x
  3. Step 3: Cross multiply
    1,378.96x = 2,079.24 × 1,264.14
  4. Step 4: Simplify right side
    1,378.96x = 2,628,450.45
  5. Step 5: Solve for x
    x = 2,628,450.45/1,378.96
  6. Step 6: Final answer
    x = 1,906.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.