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Finding the Fourth Proportional to 2,138.55, 3,203.67 and 1,211.30

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Solution

The fourth proportional to 2,138.55, 3,203.67 and 1,211.30 is: 1,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.55 : 3,203.67 = 1,211.30 : x
  2. Step 2: Convert to fraction form
    2,138.55/3,203.67 = 1,211.30/x
  3. Step 3: Cross multiply
    2,138.55x = 3,203.67 × 1,211.30
  4. Step 4: Simplify right side
    2,138.55x = 3,880,605.47
  5. Step 5: Solve for x
    x = 3,880,605.47/2,138.55
  6. Step 6: Final answer
    x = 1,814.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.