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Finding the Fourth Proportional to 2,814.96, 4,213.58 and 1,932.30

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Solution

The fourth proportional to 2,814.96, 4,213.58 and 1,932.30 is: 2,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.96 : 4,213.58 = 1,932.30 : x
  2. Step 2: Convert to fraction form
    2,814.96/4,213.58 = 1,932.30/x
  3. Step 3: Cross multiply
    2,814.96x = 4,213.58 × 1,932.30
  4. Step 4: Simplify right side
    2,814.96x = 8,141,900.63
  5. Step 5: Solve for x
    x = 8,141,900.63/2,814.96
  6. Step 6: Final answer
    x = 2,892.37

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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.