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Finding the Fourth Proportional to 1,902.39, 2,855.39 and 978.60

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Solution

The fourth proportional to 1,902.39, 2,855.39 and 978.60 is: 1,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.39 : 2,855.39 = 978.60 : x
  2. Step 2: Convert to fraction form
    1,902.39/2,855.39 = 978.60/x
  3. Step 3: Cross multiply
    1,902.39x = 2,855.39 × 978.60
  4. Step 4: Simplify right side
    1,902.39x = 2,794,279.76
  5. Step 5: Solve for x
    x = 2,794,279.76/1,902.39
  6. Step 6: Final answer
    x = 1,468.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.