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Finding the Fourth Proportional to 1,917.67, 2,876.82 and 943.87

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Solution

The fourth proportional to 1,917.67, 2,876.82 and 943.87 is: 1,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.67 : 2,876.82 = 943.87 : x
  2. Step 2: Convert to fraction form
    1,917.67/2,876.82 = 943.87/x
  3. Step 3: Cross multiply
    1,917.67x = 2,876.82 × 943.87
  4. Step 4: Simplify right side
    1,917.67x = 2,715,344.09
  5. Step 5: Solve for x
    x = 2,715,344.09/1,917.67
  6. Step 6: Final answer
    x = 1,415.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.