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Finding the Fourth Proportional to 2,297.36, 3,447.36 and 836.33

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Solution

The fourth proportional to 2,297.36, 3,447.36 and 836.33 is: 1,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.36 : 3,447.36 = 836.33 : x
  2. Step 2: Convert to fraction form
    2,297.36/3,447.36 = 836.33/x
  3. Step 3: Cross multiply
    2,297.36x = 3,447.36 × 836.33
  4. Step 4: Simplify right side
    2,297.36x = 2,883,113.35
  5. Step 5: Solve for x
    x = 2,883,113.35/2,297.36
  6. Step 6: Final answer
    x = 1,254.97

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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.