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Finding the Fourth Proportional to 2,533.86, 3,799.56 and 890.22

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Solution

The fourth proportional to 2,533.86, 3,799.56 and 890.22 is: 1,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.86 : 3,799.56 = 890.22 : x
  2. Step 2: Convert to fraction form
    2,533.86/3,799.56 = 890.22/x
  3. Step 3: Cross multiply
    2,533.86x = 3,799.56 × 890.22
  4. Step 4: Simplify right side
    2,533.86x = 3,382,444.30
  5. Step 5: Solve for x
    x = 3,382,444.30/2,533.86
  6. Step 6: Final answer
    x = 1,334.90

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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.