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Finding the Fourth Proportional to 2,782.94, 4,169.58 and 1,464.72

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Solution

The fourth proportional to 2,782.94, 4,169.58 and 1,464.72 is: 2,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.94 : 4,169.58 = 1,464.72 : x
  2. Step 2: Convert to fraction form
    2,782.94/4,169.58 = 1,464.72/x
  3. Step 3: Cross multiply
    2,782.94x = 4,169.58 × 1,464.72
  4. Step 4: Simplify right side
    2,782.94x = 6,107,267.22
  5. Step 5: Solve for x
    x = 6,107,267.22/2,782.94
  6. Step 6: Final answer
    x = 2,194.54

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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.