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Finding the Fourth Proportional to 2,563.95, 3,536.41 and 2,478.20

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Solution

The fourth proportional to 2,563.95, 3,536.41 and 2,478.20 is: 3,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.95 : 3,536.41 = 2,478.20 : x
  2. Step 2: Convert to fraction form
    2,563.95/3,536.41 = 2,478.20/x
  3. Step 3: Cross multiply
    2,563.95x = 3,536.41 × 2,478.20
  4. Step 4: Simplify right side
    2,563.95x = 8,763,912.03
  5. Step 5: Solve for x
    x = 8,763,912.03/2,563.95
  6. Step 6: Final answer
    x = 3,418.12

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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.