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Finding the Fourth Proportional to 1,380.59, 1,908.96 and 1,358.34

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Solution

The fourth proportional to 1,380.59, 1,908.96 and 1,358.34 is: 1,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.59 : 1,908.96 = 1,358.34 : x
  2. Step 2: Convert to fraction form
    1,380.59/1,908.96 = 1,358.34/x
  3. Step 3: Cross multiply
    1,380.59x = 1,908.96 × 1,358.34
  4. Step 4: Simplify right side
    1,380.59x = 2,593,016.73
  5. Step 5: Solve for x
    x = 2,593,016.73/1,380.59
  6. Step 6: Final answer
    x = 1,878.19

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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.