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Finding the Fourth Proportional to 2,236.04, 3,354.48 and 775.40

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Solution

The fourth proportional to 2,236.04, 3,354.48 and 775.40 is: 1,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.04 : 3,354.48 = 775.40 : x
  2. Step 2: Convert to fraction form
    2,236.04/3,354.48 = 775.40/x
  3. Step 3: Cross multiply
    2,236.04x = 3,354.48 × 775.40
  4. Step 4: Simplify right side
    2,236.04x = 2,601,063.79
  5. Step 5: Solve for x
    x = 2,601,063.79/2,236.04
  6. Step 6: Final answer
    x = 1,163.25

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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.