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Finding the Fourth Proportional to 2,083.29, 3,124.89 and 767.36

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Solution

The fourth proportional to 2,083.29, 3,124.89 and 767.36 is: 1,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.29 : 3,124.89 = 767.36 : x
  2. Step 2: Convert to fraction form
    2,083.29/3,124.89 = 767.36/x
  3. Step 3: Cross multiply
    2,083.29x = 3,124.89 × 767.36
  4. Step 4: Simplify right side
    2,083.29x = 2,397,899.97
  5. Step 5: Solve for x
    x = 2,397,899.97/2,083.29
  6. Step 6: Final answer
    x = 1,151.02

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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.