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Finding the Fourth Proportional to 2,788.84, 4,178.62 and 1,965.40

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Solution

The fourth proportional to 2,788.84, 4,178.62 and 1,965.40 is: 2,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.84 : 4,178.62 = 1,965.40 : x
  2. Step 2: Convert to fraction form
    2,788.84/4,178.62 = 1,965.40/x
  3. Step 3: Cross multiply
    2,788.84x = 4,178.62 × 1,965.40
  4. Step 4: Simplify right side
    2,788.84x = 8,212,659.75
  5. Step 5: Solve for x
    x = 8,212,659.75/2,788.84
  6. Step 6: Final answer
    x = 2,944.83

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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.