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Finding the Fourth Proportional to 2,235.54, 3,350.64 and 773.88

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Solution

The fourth proportional to 2,235.54, 3,350.64 and 773.88 is: 1,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.54 : 3,350.64 = 773.88 : x
  2. Step 2: Convert to fraction form
    2,235.54/3,350.64 = 773.88/x
  3. Step 3: Cross multiply
    2,235.54x = 3,350.64 × 773.88
  4. Step 4: Simplify right side
    2,235.54x = 2,592,993.28
  5. Step 5: Solve for x
    x = 2,592,993.28/2,235.54
  6. Step 6: Final answer
    x = 1,159.90

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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.