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Finding the Fourth Proportional to 2,770.29, 3,823.02 and 1,511.37

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Solution

The fourth proportional to 2,770.29, 3,823.02 and 1,511.37 is: 2,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.29 : 3,823.02 = 1,511.37 : x
  2. Step 2: Convert to fraction form
    2,770.29/3,823.02 = 1,511.37/x
  3. Step 3: Cross multiply
    2,770.29x = 3,823.02 × 1,511.37
  4. Step 4: Simplify right side
    2,770.29x = 5,777,997.74
  5. Step 5: Solve for x
    x = 5,777,997.74/2,770.29
  6. Step 6: Final answer
    x = 2,085.70

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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.