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Finding the Fourth Proportional to 1,378.17, 1,902.62 and 1,062.75

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Solution

The fourth proportional to 1,378.17, 1,902.62 and 1,062.75 is: 1,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.17 : 1,902.62 = 1,062.75 : x
  2. Step 2: Convert to fraction form
    1,378.17/1,902.62 = 1,062.75/x
  3. Step 3: Cross multiply
    1,378.17x = 1,902.62 × 1,062.75
  4. Step 4: Simplify right side
    1,378.17x = 2,022,004.09
  5. Step 5: Solve for x
    x = 2,022,004.09/1,378.17
  6. Step 6: Final answer
    x = 1,467.17

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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.