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Finding the Fourth Proportional to 1,919.35, 2,879.07 and 686.85

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Solution

The fourth proportional to 1,919.35, 2,879.07 and 686.85 is: 1,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.35 : 2,879.07 = 686.85 : x
  2. Step 2: Convert to fraction form
    1,919.35/2,879.07 = 686.85/x
  3. Step 3: Cross multiply
    1,919.35x = 2,879.07 × 686.85
  4. Step 4: Simplify right side
    1,919.35x = 1,977,489.23
  5. Step 5: Solve for x
    x = 1,977,489.23/1,919.35
  6. Step 6: Final answer
    x = 1,030.29

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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.