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Finding the Fourth Proportional to 2,533.34, 3,799.99 and 889.50

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Solution

The fourth proportional to 2,533.34, 3,799.99 and 889.50 is: 1,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.34 : 3,799.99 = 889.50 : x
  2. Step 2: Convert to fraction form
    2,533.34/3,799.99 = 889.50/x
  3. Step 3: Cross multiply
    2,533.34x = 3,799.99 × 889.50
  4. Step 4: Simplify right side
    2,533.34x = 3,380,091.11
  5. Step 5: Solve for x
    x = 3,380,091.11/2,533.34
  6. Step 6: Final answer
    x = 1,334.24

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Why These Related Problems?

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