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Finding the Fourth Proportional to 2,765.72, 3,814.62 and 1,879.98

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Solution

The fourth proportional to 2,765.72, 3,814.62 and 1,879.98 is: 2,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.72 : 3,814.62 = 1,879.98 : x
  2. Step 2: Convert to fraction form
    2,765.72/3,814.62 = 1,879.98/x
  3. Step 3: Cross multiply
    2,765.72x = 3,814.62 × 1,879.98
  4. Step 4: Simplify right side
    2,765.72x = 7,171,409.31
  5. Step 5: Solve for x
    x = 7,171,409.31/2,765.72
  6. Step 6: Final answer
    x = 2,592.96

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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.