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Finding the Fourth Proportional to 3,211.01, 4,432.67 and 2,033.67

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Solution

The fourth proportional to 3,211.01, 4,432.67 and 2,033.67 is: 2,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.01 : 4,432.67 = 2,033.67 : x
  2. Step 2: Convert to fraction form
    3,211.01/4,432.67 = 2,033.67/x
  3. Step 3: Cross multiply
    3,211.01x = 4,432.67 × 2,033.67
  4. Step 4: Simplify right side
    3,211.01x = 9,014,613.52
  5. Step 5: Solve for x
    x = 9,014,613.52/3,211.01
  6. Step 6: Final answer
    x = 2,807.41

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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.