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Finding the Fourth Proportional to 2,770.52, 3,823.19 and 1,511.55

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Solution

The fourth proportional to 2,770.52, 3,823.19 and 1,511.55 is: 2,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.52 : 3,823.19 = 1,511.55 : x
  2. Step 2: Convert to fraction form
    2,770.52/3,823.19 = 1,511.55/x
  3. Step 3: Cross multiply
    2,770.52x = 3,823.19 × 1,511.55
  4. Step 4: Simplify right side
    2,770.52x = 5,778,940.96
  5. Step 5: Solve for x
    x = 5,778,940.96/2,770.52
  6. Step 6: Final answer
    x = 2,085.87

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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.