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Finding the Fourth Proportional to 1,910.85, 2,866.28 and 677.85

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Solution

The fourth proportional to 1,910.85, 2,866.28 and 677.85 is: 1,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.85 : 2,866.28 = 677.85 : x
  2. Step 2: Convert to fraction form
    1,910.85/2,866.28 = 677.85/x
  3. Step 3: Cross multiply
    1,910.85x = 2,866.28 × 677.85
  4. Step 4: Simplify right side
    1,910.85x = 1,942,904.51
  5. Step 5: Solve for x
    x = 1,942,904.51/1,910.85
  6. Step 6: Final answer
    x = 1,016.78

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1.5x scale

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.