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Finding the Fourth Proportional to 2,236.36, 3,354.90 and 697

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Solution

The fourth proportional to 2,236.36, 3,354.90 and 697 is: 1,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.36 : 3,354.90 = 697 : x
  2. Step 2: Convert to fraction form
    2,236.36/3,354.90 = 697/x
  3. Step 3: Cross multiply
    2,236.36x = 3,354.90 × 697
  4. Step 4: Simplify right side
    2,236.36x = 2,338,365.30
  5. Step 5: Solve for x
    x = 2,338,365.30/2,236.36
  6. Step 6: Final answer
    x = 1,045.61

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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.