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Finding the Fourth Proportional to 2,770.49, 3,823.06 and 1,511.47

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Solution

The fourth proportional to 2,770.49, 3,823.06 and 1,511.47 is: 2,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.49 : 3,823.06 = 1,511.47 : x
  2. Step 2: Convert to fraction form
    2,770.49/3,823.06 = 1,511.47/x
  3. Step 3: Cross multiply
    2,770.49x = 3,823.06 × 1,511.47
  4. Step 4: Simplify right side
    2,770.49x = 5,778,440.50
  5. Step 5: Solve for x
    x = 5,778,440.50/2,770.49
  6. Step 6: Final answer
    x = 2,085.71

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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.