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Finding the Fourth Proportional to 2,136.22, 3,204.55 and 903.75

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Solution

The fourth proportional to 2,136.22, 3,204.55 and 903.75 is: 1,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.22 : 3,204.55 = 903.75 : x
  2. Step 2: Convert to fraction form
    2,136.22/3,204.55 = 903.75/x
  3. Step 3: Cross multiply
    2,136.22x = 3,204.55 × 903.75
  4. Step 4: Simplify right side
    2,136.22x = 2,896,112.06
  5. Step 5: Solve for x
    x = 2,896,112.06/2,136.22
  6. Step 6: Final answer
    x = 1,355.72

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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.