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Finding the Fourth Proportional to 2,770.88, 3,814.56 and 2,402.96

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Solution

The fourth proportional to 2,770.88, 3,814.56 and 2,402.96 is: 3,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.88 : 3,814.56 = 2,402.96 : x
  2. Step 2: Convert to fraction form
    2,770.88/3,814.56 = 2,402.96/x
  3. Step 3: Cross multiply
    2,770.88x = 3,814.56 × 2,402.96
  4. Step 4: Simplify right side
    2,770.88x = 9,166,235.10
  5. Step 5: Solve for x
    x = 9,166,235.10/2,770.88
  6. Step 6: Final answer
    x = 3,308.06

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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.