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Finding the Fourth Proportional to 2,734.48, 3,775.73 and 2,201.67

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Solution

The fourth proportional to 2,734.48, 3,775.73 and 2,201.67 is: 3,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.48 : 3,775.73 = 2,201.67 : x
  2. Step 2: Convert to fraction form
    2,734.48/3,775.73 = 2,201.67/x
  3. Step 3: Cross multiply
    2,734.48x = 3,775.73 × 2,201.67
  4. Step 4: Simplify right side
    2,734.48x = 8,312,881.58
  5. Step 5: Solve for x
    x = 8,312,881.58/2,734.48
  6. Step 6: Final answer
    x = 3,040.03

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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.