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Finding the Fourth Proportional to 2,533.59, 3,800.39 and 890.28

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Solution

The fourth proportional to 2,533.59, 3,800.39 and 890.28 is: 1,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.59 : 3,800.39 = 890.28 : x
  2. Step 2: Convert to fraction form
    2,533.59/3,800.39 = 890.28/x
  3. Step 3: Cross multiply
    2,533.59x = 3,800.39 × 890.28
  4. Step 4: Simplify right side
    2,533.59x = 3,383,406.76
  5. Step 5: Solve for x
    x = 3,383,406.76/2,533.59
  6. Step 6: Final answer
    x = 1,335.42

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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.