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Finding the Fourth Proportional to 2,032.73, 2,805.10 and 1,136.50

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Solution

The fourth proportional to 2,032.73, 2,805.10 and 1,136.50 is: 1,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.73 : 2,805.10 = 1,136.50 : x
  2. Step 2: Convert to fraction form
    2,032.73/2,805.10 = 1,136.50/x
  3. Step 3: Cross multiply
    2,032.73x = 2,805.10 × 1,136.50
  4. Step 4: Simplify right side
    2,032.73x = 3,187,996.15
  5. Step 5: Solve for x
    x = 3,187,996.15/2,032.73
  6. Step 6: Final answer
    x = 1,568.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.