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Finding the Fourth Proportional to 1,909.59, 2,863.97 and 677.04

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Solution

The fourth proportional to 1,909.59, 2,863.97 and 677.04 is: 1,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.59 : 2,863.97 = 677.04 : x
  2. Step 2: Convert to fraction form
    1,909.59/2,863.97 = 677.04/x
  3. Step 3: Cross multiply
    1,909.59x = 2,863.97 × 677.04
  4. Step 4: Simplify right side
    1,909.59x = 1,939,023.94
  5. Step 5: Solve for x
    x = 1,939,023.94/1,909.59
  6. Step 6: Final answer
    x = 1,015.41

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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.