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Finding the Fourth Proportional to 2,377.60, 3,567 and 1,919.54

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Solution

The fourth proportional to 2,377.60, 3,567 and 1,919.54 is: 2,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.60 : 3,567 = 1,919.54 : x
  2. Step 2: Convert to fraction form
    2,377.60/3,567 = 1,919.54/x
  3. Step 3: Cross multiply
    2,377.60x = 3,567 × 1,919.54
  4. Step 4: Simplify right side
    2,377.60x = 6,846,999.18
  5. Step 5: Solve for x
    x = 6,846,999.18/2,377.60
  6. Step 6: Final answer
    x = 2,879.79

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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.