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Finding the Fourth Proportional to 1,910.05, 2,864.13 and 677.27

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Solution

The fourth proportional to 1,910.05, 2,864.13 and 677.27 is: 1,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.05 : 2,864.13 = 677.27 : x
  2. Step 2: Convert to fraction form
    1,910.05/2,864.13 = 677.27/x
  3. Step 3: Cross multiply
    1,910.05x = 2,864.13 × 677.27
  4. Step 4: Simplify right side
    1,910.05x = 1,939,793.95
  5. Step 5: Solve for x
    x = 1,939,793.95/1,910.05
  6. Step 6: Final answer
    x = 1,015.57

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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.