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Finding the Fourth Proportional to 1,840.78, 2,761.85 and 867.03

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Solution

The fourth proportional to 1,840.78, 2,761.85 and 867.03 is: 1,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.78 : 2,761.85 = 867.03 : x
  2. Step 2: Convert to fraction form
    1,840.78/2,761.85 = 867.03/x
  3. Step 3: Cross multiply
    1,840.78x = 2,761.85 × 867.03
  4. Step 4: Simplify right side
    1,840.78x = 2,394,606.81
  5. Step 5: Solve for x
    x = 2,394,606.81/1,840.78
  6. Step 6: Final answer
    x = 1,300.87

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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.