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Finding the Fourth Proportional to 1,433.09, 2,147.11 and 1,255.41

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Solution

The fourth proportional to 1,433.09, 2,147.11 and 1,255.41 is: 1,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.09 : 2,147.11 = 1,255.41 : x
  2. Step 2: Convert to fraction form
    1,433.09/2,147.11 = 1,255.41/x
  3. Step 3: Cross multiply
    1,433.09x = 2,147.11 × 1,255.41
  4. Step 4: Simplify right side
    1,433.09x = 2,695,503.37
  5. Step 5: Solve for x
    x = 2,695,503.37/1,433.09
  6. Step 6: Final answer
    x = 1,880.90

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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.