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Finding the Fourth Proportional to 2,140.39, 3,211.11 and 601.39

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Solution

The fourth proportional to 2,140.39, 3,211.11 and 601.39 is: 902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.39 : 3,211.11 = 601.39 : x
  2. Step 2: Convert to fraction form
    2,140.39/3,211.11 = 601.39/x
  3. Step 3: Cross multiply
    2,140.39x = 3,211.11 × 601.39
  4. Step 4: Simplify right side
    2,140.39x = 1,931,129.44
  5. Step 5: Solve for x
    x = 1,931,129.44/2,140.39
  6. Step 6: Final answer
    x = 902.23

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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.