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Finding the Fourth Proportional to 1,911.77, 2,867.67 and 679.13

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Solution

The fourth proportional to 1,911.77, 2,867.67 and 679.13 is: 1,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.77 : 2,867.67 = 679.13 : x
  2. Step 2: Convert to fraction form
    1,911.77/2,867.67 = 679.13/x
  3. Step 3: Cross multiply
    1,911.77x = 2,867.67 × 679.13
  4. Step 4: Simplify right side
    1,911.77x = 1,947,520.73
  5. Step 5: Solve for x
    x = 1,947,520.73/1,911.77
  6. Step 6: Final answer
    x = 1,018.70

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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.