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Finding the Fourth Proportional to 2,769.70, 3,816.40 and 1,883.96

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Solution

The fourth proportional to 2,769.70, 3,816.40 and 1,883.96 is: 2,595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.70 : 3,816.40 = 1,883.96 : x
  2. Step 2: Convert to fraction form
    2,769.70/3,816.40 = 1,883.96/x
  3. Step 3: Cross multiply
    2,769.70x = 3,816.40 × 1,883.96
  4. Step 4: Simplify right side
    2,769.70x = 7,189,944.94
  5. Step 5: Solve for x
    x = 7,189,944.94/2,769.70
  6. Step 6: Final answer
    x = 2,595.93

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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.