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Finding the Fourth Proportional to 1,919.20, 2,878.80 and 532.88

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Solution

The fourth proportional to 1,919.20, 2,878.80 and 532.88 is: 799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.20 : 2,878.80 = 532.88 : x
  2. Step 2: Convert to fraction form
    1,919.20/2,878.80 = 532.88/x
  3. Step 3: Cross multiply
    1,919.20x = 2,878.80 × 532.88
  4. Step 4: Simplify right side
    1,919.20x = 1,534,067.54
  5. Step 5: Solve for x
    x = 1,534,067.54/1,919.20
  6. Step 6: Final answer
    x = 799.33

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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.