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Finding the Fourth Proportional to 1,378.08, 1,902.42 and 854.42

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Solution

The fourth proportional to 1,378.08, 1,902.42 and 854.42 is: 1,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.08 : 1,902.42 = 854.42 : x
  2. Step 2: Convert to fraction form
    1,378.08/1,902.42 = 854.42/x
  3. Step 3: Cross multiply
    1,378.08x = 1,902.42 × 854.42
  4. Step 4: Simplify right side
    1,378.08x = 1,625,456.18
  5. Step 5: Solve for x
    x = 1,625,456.18/1,378.08
  6. Step 6: Final answer
    x = 1,179.51

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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.