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Finding the Fourth Proportional to 2,757.63, 3,806.49 and 2,015.40

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Solution

The fourth proportional to 2,757.63, 3,806.49 and 2,015.40 is: 2,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.63 : 3,806.49 = 2,015.40 : x
  2. Step 2: Convert to fraction form
    2,757.63/3,806.49 = 2,015.40/x
  3. Step 3: Cross multiply
    2,757.63x = 3,806.49 × 2,015.40
  4. Step 4: Simplify right side
    2,757.63x = 7,671,599.95
  5. Step 5: Solve for x
    x = 7,671,599.95/2,757.63
  6. Step 6: Final answer
    x = 2,781.95

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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.