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Finding the Fourth Proportional to 2,533.64, 3,801.33 and 890.42

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Solution

The fourth proportional to 2,533.64, 3,801.33 and 890.42 is: 1,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.64 : 3,801.33 = 890.42 : x
  2. Step 2: Convert to fraction form
    2,533.64/3,801.33 = 890.42/x
  3. Step 3: Cross multiply
    2,533.64x = 3,801.33 × 890.42
  4. Step 4: Simplify right side
    2,533.64x = 3,384,761.25
  5. Step 5: Solve for x
    x = 3,384,761.25/2,533.64
  6. Step 6: Final answer
    x = 1,335.93

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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.