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Finding the Fourth Proportional to 1,856.05, 2,781.97 and 759.81

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Solution

The fourth proportional to 1,856.05, 2,781.97 and 759.81 is: 1,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.05 : 2,781.97 = 759.81 : x
  2. Step 2: Convert to fraction form
    1,856.05/2,781.97 = 759.81/x
  3. Step 3: Cross multiply
    1,856.05x = 2,781.97 × 759.81
  4. Step 4: Simplify right side
    1,856.05x = 2,113,768.63
  5. Step 5: Solve for x
    x = 2,113,768.63/1,856.05
  6. Step 6: Final answer
    x = 1,138.86

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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.