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Finding the Fourth Proportional to 1,919.42, 2,878.65 and 620.54

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Solution

The fourth proportional to 1,919.42, 2,878.65 and 620.54 is: 930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.42 : 2,878.65 = 620.54 : x
  2. Step 2: Convert to fraction form
    1,919.42/2,878.65 = 620.54/x
  3. Step 3: Cross multiply
    1,919.42x = 2,878.65 × 620.54
  4. Step 4: Simplify right side
    1,919.42x = 1,786,317.47
  5. Step 5: Solve for x
    x = 1,786,317.47/1,919.42
  6. Step 6: Final answer
    x = 930.65

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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.