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Finding the Fourth Proportional to 2,782.32, 4,169.82 and 1,550.31

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Solution

The fourth proportional to 2,782.32, 4,169.82 and 1,550.31 is: 2,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.32 : 4,169.82 = 1,550.31 : x
  2. Step 2: Convert to fraction form
    2,782.32/4,169.82 = 1,550.31/x
  3. Step 3: Cross multiply
    2,782.32x = 4,169.82 × 1,550.31
  4. Step 4: Simplify right side
    2,782.32x = 6,464,513.64
  5. Step 5: Solve for x
    x = 6,464,513.64/2,782.32
  6. Step 6: Final answer
    x = 2,323.43

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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.