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Finding the Fourth Proportional to 2,236.54, 3,354.03 and 775.30

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Solution

The fourth proportional to 2,236.54, 3,354.03 and 775.30 is: 1,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.54 : 3,354.03 = 775.30 : x
  2. Step 2: Convert to fraction form
    2,236.54/3,354.03 = 775.30/x
  3. Step 3: Cross multiply
    2,236.54x = 3,354.03 × 775.30
  4. Step 4: Simplify right side
    2,236.54x = 2,600,379.46
  5. Step 5: Solve for x
    x = 2,600,379.46/2,236.54
  6. Step 6: Final answer
    x = 1,162.68

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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.