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Finding the Fourth Proportional to 3,289.57, 4,538.12 and 2,030.67

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Solution

The fourth proportional to 3,289.57, 4,538.12 and 2,030.67 is: 2,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.57 : 4,538.12 = 2,030.67 : x
  2. Step 2: Convert to fraction form
    3,289.57/4,538.12 = 2,030.67/x
  3. Step 3: Cross multiply
    3,289.57x = 4,538.12 × 2,030.67
  4. Step 4: Simplify right side
    3,289.57x = 9,215,440.56
  5. Step 5: Solve for x
    x = 9,215,440.56/3,289.57
  6. Step 6: Final answer
    x = 2,801.41

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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.