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Finding the Fourth Proportional to 2,083.96, 3,126.75 and 786.34

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Solution

The fourth proportional to 2,083.96, 3,126.75 and 786.34 is: 1,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.96 : 3,126.75 = 786.34 : x
  2. Step 2: Convert to fraction form
    2,083.96/3,126.75 = 786.34/x
  3. Step 3: Cross multiply
    2,083.96x = 3,126.75 × 786.34
  4. Step 4: Simplify right side
    2,083.96x = 2,458,693.98
  5. Step 5: Solve for x
    x = 2,458,693.98/2,083.96
  6. Step 6: Final answer
    x = 1,179.82

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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.