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Finding the Fourth Proportional to 2,562.72, 3,843.91 and 919.32

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Solution

The fourth proportional to 2,562.72, 3,843.91 and 919.32 is: 1,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.72 : 3,843.91 = 919.32 : x
  2. Step 2: Convert to fraction form
    2,562.72/3,843.91 = 919.32/x
  3. Step 3: Cross multiply
    2,562.72x = 3,843.91 × 919.32
  4. Step 4: Simplify right side
    2,562.72x = 3,533,764.90
  5. Step 5: Solve for x
    x = 3,533,764.90/2,562.72
  6. Step 6: Final answer
    x = 1,378.91

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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.