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Finding the Fourth Proportional to 2,136.06, 3,203.33 and 903.56

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Solution

The fourth proportional to 2,136.06, 3,203.33 and 903.56 is: 1,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.06 : 3,203.33 = 903.56 : x
  2. Step 2: Convert to fraction form
    2,136.06/3,203.33 = 903.56/x
  3. Step 3: Cross multiply
    2,136.06x = 3,203.33 × 903.56
  4. Step 4: Simplify right side
    2,136.06x = 2,894,403.77
  5. Step 5: Solve for x
    x = 2,894,403.77/2,136.06
  6. Step 6: Final answer
    x = 1,355.02

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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.