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Finding the Fourth Proportional to 2,770.76, 3,823.76 and 1,511.88

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Solution

The fourth proportional to 2,770.76, 3,823.76 and 1,511.88 is: 2,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.76 : 3,823.76 = 1,511.88 : x
  2. Step 2: Convert to fraction form
    2,770.76/3,823.76 = 1,511.88/x
  3. Step 3: Cross multiply
    2,770.76x = 3,823.76 × 1,511.88
  4. Step 4: Simplify right side
    2,770.76x = 5,781,066.27
  5. Step 5: Solve for x
    x = 5,781,066.27/2,770.76
  6. Step 6: Final answer
    x = 2,086.46

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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.