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Finding the Fourth Proportional to 2,770.98, 3,827.28 and 2,023.74

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Solution

The fourth proportional to 2,770.98, 3,827.28 and 2,023.74 is: 2,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.98 : 3,827.28 = 2,023.74 : x
  2. Step 2: Convert to fraction form
    2,770.98/3,827.28 = 2,023.74/x
  3. Step 3: Cross multiply
    2,770.98x = 3,827.28 × 2,023.74
  4. Step 4: Simplify right side
    2,770.98x = 7,745,419.63
  5. Step 5: Solve for x
    x = 7,745,419.63/2,770.98
  6. Step 6: Final answer
    x = 2,795.19

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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.