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Finding the Fourth Proportional to 2,136.51, 3,205.17 and 749.79

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Solution

The fourth proportional to 2,136.51, 3,205.17 and 749.79 is: 1,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.51 : 3,205.17 = 749.79 : x
  2. Step 2: Convert to fraction form
    2,136.51/3,205.17 = 749.79/x
  3. Step 3: Cross multiply
    2,136.51x = 3,205.17 × 749.79
  4. Step 4: Simplify right side
    2,136.51x = 2,403,204.41
  5. Step 5: Solve for x
    x = 2,403,204.41/2,136.51
  6. Step 6: Final answer
    x = 1,124.83

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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.