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Finding the Fourth Proportional to 2,766.14, 3,813.24 and 2,101.84

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Solution

The fourth proportional to 2,766.14, 3,813.24 and 2,101.84 is: 2,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.14 : 3,813.24 = 2,101.84 : x
  2. Step 2: Convert to fraction form
    2,766.14/3,813.24 = 2,101.84/x
  3. Step 3: Cross multiply
    2,766.14x = 3,813.24 × 2,101.84
  4. Step 4: Simplify right side
    2,766.14x = 8,014,820.36
  5. Step 5: Solve for x
    x = 8,014,820.36/2,766.14
  6. Step 6: Final answer
    x = 2,897.47

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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.