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Finding the Fourth Proportional to 2,140.88, 3,227.85 and 1,713.20

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Solution

The fourth proportional to 2,140.88, 3,227.85 and 1,713.20 is: 2,583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.88 : 3,227.85 = 1,713.20 : x
  2. Step 2: Convert to fraction form
    2,140.88/3,227.85 = 1,713.20/x
  3. Step 3: Cross multiply
    2,140.88x = 3,227.85 × 1,713.20
  4. Step 4: Simplify right side
    2,140.88x = 5,529,936.48
  5. Step 5: Solve for x
    x = 5,529,936.48/2,140.88
  6. Step 6: Final answer
    x = 2,583.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.