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Finding the Fourth Proportional to 2,780.92, 3,840.78 and 2,189.62

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Solution

The fourth proportional to 2,780.92, 3,840.78 and 2,189.62 is: 3,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.92 : 3,840.78 = 2,189.62 : x
  2. Step 2: Convert to fraction form
    2,780.92/3,840.78 = 2,189.62/x
  3. Step 3: Cross multiply
    2,780.92x = 3,840.78 × 2,189.62
  4. Step 4: Simplify right side
    2,780.92x = 8,409,848.70
  5. Step 5: Solve for x
    x = 8,409,848.70/2,780.92
  6. Step 6: Final answer
    x = 3,024.12

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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.