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Finding the Fourth Proportional to 2,236.56, 3,354.72 and 697.52

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Solution

The fourth proportional to 2,236.56, 3,354.72 and 697.52 is: 1,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.56 : 3,354.72 = 697.52 : x
  2. Step 2: Convert to fraction form
    2,236.56/3,354.72 = 697.52/x
  3. Step 3: Cross multiply
    2,236.56x = 3,354.72 × 697.52
  4. Step 4: Simplify right side
    2,236.56x = 2,339,984.29
  5. Step 5: Solve for x
    x = 2,339,984.29/2,236.56
  6. Step 6: Final answer
    x = 1,046.24

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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.