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Finding the Fourth Proportional to 2,533.23, 3,800.20 and 889.40

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Solution

The fourth proportional to 2,533.23, 3,800.20 and 889.40 is: 1,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.23 : 3,800.20 = 889.40 : x
  2. Step 2: Convert to fraction form
    2,533.23/3,800.20 = 889.40/x
  3. Step 3: Cross multiply
    2,533.23x = 3,800.20 × 889.40
  4. Step 4: Simplify right side
    2,533.23x = 3,379,897.88
  5. Step 5: Solve for x
    x = 3,379,897.88/2,533.23
  6. Step 6: Final answer
    x = 1,334.22

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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.