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Finding the Fourth Proportional to 2,203.12, 3,040.20 and 1,271.92

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Solution

The fourth proportional to 2,203.12, 3,040.20 and 1,271.92 is: 1,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.12 : 3,040.20 = 1,271.92 : x
  2. Step 2: Convert to fraction form
    2,203.12/3,040.20 = 1,271.92/x
  3. Step 3: Cross multiply
    2,203.12x = 3,040.20 × 1,271.92
  4. Step 4: Simplify right side
    2,203.12x = 3,866,891.18
  5. Step 5: Solve for x
    x = 3,866,891.18/2,203.12
  6. Step 6: Final answer
    x = 1,755.19

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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.