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Finding the Fourth Proportional to 2,203.79, 3,040.75 and 1,271.75

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Solution

The fourth proportional to 2,203.79, 3,040.75 and 1,271.75 is: 1,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.79 : 3,040.75 = 1,271.75 : x
  2. Step 2: Convert to fraction form
    2,203.79/3,040.75 = 1,271.75/x
  3. Step 3: Cross multiply
    2,203.79x = 3,040.75 × 1,271.75
  4. Step 4: Simplify right side
    2,203.79x = 3,867,073.81
  5. Step 5: Solve for x
    x = 3,867,073.81/2,203.79
  6. Step 6: Final answer
    x = 1,754.74

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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.